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400494960 = 24325556243
BaseRepresentation
bin10111110111110…
…001000101110000
31000220121020210200
4113313301011300
51310011314320
6103423555200
712632102535
oct2767610560
91026536720
10400494960
11196083878
12b215bb00
1364c85988
143b292d8c
1525260290
hex17df1170

400494960 has 60 divisors (see below), whose sum is σ = 1344997992. Its totient is φ = 106798464.

The previous prime is 400494923. The next prime is 400494967. The reversal of 400494960 is 69494004.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400494967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277402 + ... + 278841.

Almost surely, 2400494960 is an apocalyptic number.

400494960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400494960 is an abundant number, since it is smaller than the sum of its proper divisors (944503032).

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

400494960 is a wasteful number, since it uses less digits than its factorization.

400494960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556262 (or 556253 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 400494960 is about 20012.3701744696. The cubic root of 400494960 is about 737.1100825007.

The spelling of 400494960 in words is "four hundred million, four hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 556243 1112486 1668729 2224972 2781215 3337458 4449944 5006187 5562430 6674916 8343645 8899888 10012374 11124860 13349832 16687290 20024748 22249720 25030935 26699664 33374580 40049496 44499440 50061870 66749160 80098992 100123740 133498320 200247480 400494960