400365600 has 144 divisors (see below), whose sum is σ = 1360037952. Its totient is φ = 102108160.

The previous prime is 400365571. The next prime is 400365629. The reversal of 400365600 is 6563004.

It is an interprime number because it is at equal distance from previous prime (400365571) and next prime (400365629).

It is a super-2 number, since 2×400365600² = 320585227326720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51574 + ... + 58826.

It is an arithmetic number, because the mean of its divisors is an integer number (9444708).

Almost surely, 2^400365600 is an apocalyptic number.

400365600 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 400365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680018976).

400365600 is an abundant number, since it is smaller than the sum of its proper divisors (959672352).

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

400365600 is a wasteful number, since it uses less digits than its factorization.

400365600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 400365600 is about 20009.1379124639. The cubic root of 400365600 is about 737.0307116904.

The spelling of 400365600 in words is "four hundred million, three hundred sixty-five thousand, six hundred".