400665312 has 96 divisors (see below), whose sum is σ = 1230163200. Its totient is φ = 126520704.

The previous prime is 400665301. The next prime is 400665337. The reversal of 400665312 is 213566004.

400665312 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 653 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 4213 + ... + 28619.

It is an arithmetic number, because the mean of its divisors is an integer number (12814200).

Almost surely, 2^400665312 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 400665312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615081600).

400665312 is an abundant number, since it is smaller than the sum of its proper divisors (829497888).

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

400665312 is a wasteful number, since it uses less digits than its factorization.

400665312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24445 (or 24431 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 400665312 is about 20016.6258894950. The cubic root of 400665312 is about 737.2145785118.

The spelling of 400665312 in words is "four hundred million, six hundred sixty-five thousand, three hundred twelve".