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464240480 = 25511377129
BaseRepresentation
bin11011101010111…
…011111101100000
31012100112212012212
4123222323331200
51422321143410
6114022141252
714334656534
oct3352737540
91170485185
10464240480
11219062820
1210b581828
1375244712
1445927bc4
152ab52b05
hex1babbf60

464240480 has 96 divisors (see below), whose sum is σ = 1228983840. Its totient is φ = 164229120.

The previous prime is 464240473. The next prime is 464240519. The reversal of 464240480 is 84042464.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61556 + ... + 68684.

It is an arithmetic number, because the mean of its divisors is an integer number (12801915).

Almost surely, 2464240480 is an apocalyptic number.

464240480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614491920).

464240480 is an abundant number, since it is smaller than the sum of its proper divisors (764743360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464240480 is a wasteful number, since it uses less digits than its factorization.

464240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7192 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 464240480 is about 21546.2405073368. The cubic root of 464240480 is about 774.3090504884.

The spelling of 464240480 in words is "four hundred sixty-four million, two hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 110 148 160 176 185 220 296 352 370 407 440 592 740 814 880 1184 1480 1628 1760 2035 2960 3256 4070 5920 6512 7129 8140 13024 14258 16280 28516 32560 35645 57032 65120 71290 78419 114064 142580 156838 228128 263773 285160 313676 392095 527546 570320 627352 784190 1055092 1140640 1254704 1318865 1568380 2110184 2509408 2637730 2901503 3136760 4220368 5275460 5803006 6273520 8440736 10550920 11606012 12547040 14507515 21101840 23212024 29015030 42203680 46424048 58030060 92848096 116060120 232120240 464240480