400156800 has 192 divisors, whose sum is σ = 1338411360. Its totient is φ = 105062400.

The previous prime is 400156793. The next prime is 400156811. The reversal of 400156800 is 8651004.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 700515 + ... + 701085.

Almost surely, 2^400156800 is an apocalyptic number.

400156800 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 400156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669205680).

400156800 is an abundant number, since it is smaller than the sum of its proper divisors (938254560).

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

400156800 is a wasteful number, since it uses less digits than its factorization.

400156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 400156800 is about 20003.9196159153. The cubic root of 400156800 is about 736.9025631739.

The spelling of 400156800 in words is "four hundred million, one hundred fifty-six thousand, eight hundred".