400945284 has 18 divisors (see below), whose sum is σ = 1013500670. Its totient is φ = 133648416.

The previous prime is 400945261. The next prime is 400945291. The reversal of 400945284 is 482549004.

400945284 is a `hidden beast` number, since 40 + 0 + 94 + 528 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 213802884 + 187142400 = 14622^2 + 13680^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11137369 = 400945284 / (4 + 0 + 0 + 9 + 4 + 5 + 2 + 8 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5568649 + ... + 5568720.

Almost surely, 2^400945284 is an apocalyptic number.

It is an amenable number.

400945284 is an abundant number, since it is smaller than the sum of its proper divisors (612555386).

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

400945284 is a wasteful number, since it uses less digits than its factorization.

400945284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11137379 (or 11137374 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 400945284 is about 20023.6181545694. The cubic root of 400945284 is about 737.3862524562.

The spelling of 400945284 in words is "four hundred million, nine hundred forty-five thousand, two hundred eighty-four".