400316928 has 320 divisors, whose sum is σ = 1296345600. Its totient is φ = 108380160.

The previous prime is 400316921. The next prime is 400316929. The reversal of 400316928 is 829613004.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (400316921) 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, 9309675 + ... + 9309717.

It is an arithmetic number, because the mean of its divisors is an integer number (4051080).

Almost surely, 2^400316928 is an apocalyptic number.

400316928 is a gapful number since it is divisible by the number (48) 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 400316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648172800).

400316928 is an abundant number, since it is smaller than the sum of its proper divisors (896028672).

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

400316928 is a wasteful number, since it uses less digits than its factorization.

400316928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 400316928 is about 20007.9216311940. The cubic root of 400316928 is about 737.0008438125. Note that the first 3 decimals are identical.

The spelling of 400316928 in words is "four hundred million, three hundred sixteen thousand, nine hundred twenty-eight".