402400257 has 16 divisors (see below), whose sum is σ = 615521280. Its totient is φ = 229065552.

The previous prime is 402400223. The next prime is 402400267. The reversal of 402400257 is 752004204.

It is not a de Polignac number, because 402400257 - 2⁷ = 402400129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (402400267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30907 + ... + 41952.

It is an arithmetic number, because the mean of its divisors is an integer number (38470080).

Almost surely, 2^402400257 is an apocalyptic number.

It is an amenable number.

402400257 is a deficient number, since it is larger than the sum of its proper divisors (213121023).

402400257 is a wasteful number, since it uses less digits than its factorization.

402400257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73132.

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 402400257 is about 20059.9166748020. The cubic root of 402400257 is about 738.2771320586.

The spelling of 402400257 in words is "four hundred two million, four hundred thousand, two hundred fifty-seven".