400826400 has 288 divisors, whose sum is σ = 1456781760. Its totient is φ = 95047680.

The previous prime is 400826399. The next prime is 400826411. The reversal of 400826400 is 4628004.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904579 + ... + 905021.

It is an arithmetic number, because the mean of its divisors is an integer number (5058270).

Almost surely, 2^400826400 is an apocalyptic number.

400826400 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 400826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728390880).

400826400 is an abundant number, since it is smaller than the sum of its proper divisors (1055955360).

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

400826400 is a wasteful number, since it uses less digits than its factorization.

400826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 400826400 is about 20020.6493401188. The cubic root of 400826400 is about 737.3133646280.

The spelling of 400826400 in words is "four hundred million, eight hundred twenty-six thousand, four hundred".