400057920 has 224 divisors, whose sum is σ = 1486204800. Its totient is φ = 101025792.

The previous prime is 400057919. The next prime is 400057921. The reversal of 400057920 is 29750004.

It is an interprime number because it is at equal distance from previous prime (400057919) and next prime (400057921).

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

It is not an unprimeable number, because it can be changed into a prime (400057921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 162942 + ... + 165378.

Almost surely, 2^400057920 is an apocalyptic number.

400057920 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 400057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743102400).

400057920 is an abundant number, since it is smaller than the sum of its proper divisors (1086146880).

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

400057920 is a wasteful number, since it uses less digits than its factorization.

400057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 400057920 is about 20001.4479475862. The cubic root of 400057920 is about 736.8418611958.

The spelling of 400057920 in words is "four hundred million, fifty-seven thousand, nine hundred twenty".