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400446640 = 24511455053
BaseRepresentation
bin10111110111100…
…101010010110000
31000220111210112001
4113313211102300
51310003243030
6103422543344
712631511626
oct2767452260
91026453461
10400446640
11196050540
12b2137b54
1364c69999
143b27d516
1525250cca
hex17de54b0

400446640 has 40 divisors (see below), whose sum is σ = 1015680528. Its totient is φ = 145616640.

The previous prime is 400446617. The next prime is 400446643. The reversal of 400446640 is 46644004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4004466402 = 320715022974579200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400446599 and 400446608.

It is not an unprimeable number, because it can be changed into a prime (400446643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226647 + ... + 228406.

Almost surely, 2400446640 is an apocalyptic number.

400446640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400446640 is an abundant number, since it is smaller than the sum of its proper divisors (615233888).

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

400446640 is a wasteful number, since it uses less digits than its factorization.

400446640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455077 (or 455071 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 400446640 is about 20011.1628847501. The cubic root of 400446640 is about 737.0804370242.

The spelling of 400446640 in words is "four hundred million, four hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 455053 910106 1820212 2275265 3640424 4550530 5005583 7280848 9101060 10011166 18202120 20022332 25027915 36404240 40044664 50055830 80089328 100111660 200223320 400446640