400796800 has 96 divisors (see below), whose sum is σ = 996030000. Its totient is φ = 159360000.

The previous prime is 400796797. The next prime is 400796831. The reversal of 400796800 is 8697004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802951 + ... + 803449.

Almost surely, 2^400796800 is an apocalyptic number.

400796800 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 400796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498015000).

400796800 is an abundant number, since it is smaller than the sum of its proper divisors (595233200).

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

400796800 is a wasteful number, since it uses less digits than its factorization.

400796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 400796800 is about 20019.9100897082. The cubic root of 400796800 is about 737.2952146152.

The spelling of 400796800 in words is "four hundred million, seven hundred ninety-six thousand, eight hundred".