400090257 has 24 divisors (see below), whose sum is σ = 699319296. Its totient is φ = 215174016.

The previous prime is 400090253. The next prime is 400090283. The reversal of 400090257 is 752090004.

400090257 is a `hidden beast` number, since 400 + 0 + 9 + 0 + 257 = 666.

It is not a de Polignac number, because 400090257 - 2² = 400090253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400090257.

It is not an unprimeable number, because it can be changed into a prime (400090253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185713 + ... + 187854.

It is an arithmetic number, because the mean of its divisors is an integer number (29138304).

Almost surely, 2^400090257 is an apocalyptic number.

It is an amenable number.

400090257 is a deficient number, since it is larger than the sum of its proper divisors (299229039).

400090257 is a wasteful number, since it uses less digits than its factorization.

400090257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373597 (or 373594 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 400090257 is about 20002.2562977280. The cubic root of 400090257 is about 736.8617138322.

The spelling of 400090257 in words is "four hundred million, ninety thousand, two hundred fifty-seven".