400813056 has 352 divisors, whose sum is σ = 1441088000. Its totient is φ = 107495424.

The previous prime is 400813027. The next prime is 400813073. The reversal of 400813056 is 650318004.

It is a super-2 number, since 2×400813056² = 321302211720118272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3677130 + ... + 3677238.

It is an arithmetic number, because the mean of its divisors is an integer number (4094000).

Almost surely, 2^400813056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720544000).

400813056 is an abundant number, since it is smaller than the sum of its proper divisors (1040274944).

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

400813056 is a wasteful number, since it uses less digits than its factorization.

400813056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 400813056 is about 20020.3160814209. The cubic root of 400813056 is about 737.3051825166.

The spelling of 400813056 in words is "four hundred million, eight hundred thirteen thousand, fifty-six".