400215088 has 320 divisors, whose sum is σ = 1139927040. Its totient is φ = 131383296.

The previous prime is 400215059. The next prime is 400215091. The reversal of 400215088 is 880512004.

400215088 is nontrivially palindromic in base 3.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10816606 + ... + 10816642.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^400215088 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 400215088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569963520).

400215088 is an abundant number, since it is smaller than the sum of its proper divisors (739711952).

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

400215088 is a wasteful number, since it uses less digits than its factorization.

400215088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 400215088 is about 20005.3764773373. The cubic root of 400215088 is about 736.9383412249.

The spelling of 400215088 in words is "four hundred million, two hundred fifteen thousand, eighty-eight".