257400413 has 4 divisors (see below), whose sum is σ = 258138300. Its totient is φ = 256662528.

The previous prime is 257400359. The next prime is 257400431. The reversal of 257400413 is 314004752.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 88322404 + 169078009 = 9398^2 + 13003^2 .

It is a cyclic number.

It is not a de Polignac number, because 257400413 - 2¹⁶ = 257334877 is a prime.

It is a super-2 number, since 2×257400413² = 132509945225141138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257400443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 368420 + ... + 369117.

It is an arithmetic number, because the mean of its divisors is an integer number (64534575).

Almost surely, 2^257400413 is an apocalyptic number.

It is an amenable number.

257400413 is a deficient number, since it is larger than the sum of its proper divisors (737887).

257400413 is an equidigital number, since it uses as much as digits as its factorization.

257400413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737886.

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 257400413 is about 16043.7032196435. The cubic root of 257400413 is about 636.1161373360.

The spelling of 257400413 in words is "two hundred fifty-seven million, four hundred thousand, four hundred thirteen".