400275216 has 160 divisors (see below), whose sum is σ = 1264919040. Its totient is φ = 120182400.

The previous prime is 400275199. The next prime is 400275241. The reversal of 400275216 is 612572004.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400275216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622191 + ... + 622833.

It is an arithmetic number, because the mean of its divisors is an integer number (7905744).

Almost surely, 2^400275216 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 400275216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632459520).

400275216 is an abundant number, since it is smaller than the sum of its proper divisors (864643824).

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

400275216 is a wasteful number, since it uses less digits than its factorization.

400275216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 400275216 is about 20006.8792169094. The cubic root of 400275216 is about 736.9752450558.

The spelling of 400275216 in words is "four hundred million, two hundred seventy-five thousand, two hundred sixteen".