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464040 = 233251289
BaseRepresentation
bin1110001010010101000
3212120112200
41301102220
5104322130
613540200
73641613
oct1612250
9776480
10464040
11297705
121a4660
131332a5
14c117a
1592760
hex714a8

464040 has 48 divisors (see below), whose sum is σ = 1509300. Its totient is φ = 123648.

The previous prime is 464033. The next prime is 464047. The reversal of 464040 is 40464.

It is an interprime number because it is at equal distance from previous prime (464033) and next prime (464047).

It can be written as a sum of positive squares in 2 ways, for example, as 459684 + 4356 = 678^2 + 66^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (464047) by changing a digit.

464040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285 + ... + 1004.

2464040 is an apocalyptic number.

464040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464040 is an abundant number, since it is smaller than the sum of its proper divisors (1045260).

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

464040 is a wasteful number, since it uses less digits than its factorization.

464040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 464040 is about 681.2048150153. The cubic root of 464040 is about 77.4197573904.

The spelling of 464040 in words is "four hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1289 2578 3867 5156 6445 7734 10312 11601 12890 15468 19335 23202 25780 30936 38670 46404 51560 58005 77340 92808 116010 154680 232020 464040