400857600 has 480 divisors, whose sum is σ = 1577024064. Its totient is φ = 88473600.

The previous prime is 400857577. The next prime is 400857601. The reversal of 400857600 is 6758004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400857601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5491164 + ... + 5491236.

Almost surely, 2^400857600 is an apocalyptic number.

400857600 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 400857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788512032).

400857600 is an abundant number, since it is smaller than the sum of its proper divisors (1176166464).

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

400857600 is a wasteful number, since it uses less digits than its factorization.

400857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 400857600 is about 20021.4285204628. The cubic root of 400857600 is about 737.3324947552.

The spelling of 400857600 in words is "four hundred million, eight hundred fifty-seven thousand, six hundred".