257422401 has 8 divisors (see below), whose sum is σ = 381366560. Its totient is φ = 171614916.

The previous prime is 257422391. The next prime is 257422411. The reversal of 257422401 is 104224752.

257422401 is a `hidden beast` number, since 257 + 4 + 2 + 2 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (257422391) and next prime (257422411).

It is not a de Polignac number, because 257422401 - 2¹⁵ = 257389633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 9534163 = 257422401 / (2 + 5 + 7 + 4 + 2 + 2 + 4 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257422411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4767055 + ... + 4767108.

It is an arithmetic number, because the mean of its divisors is an integer number (47670820).

Almost surely, 2^257422401 is an apocalyptic number.

It is an amenable number.

257422401 is a deficient number, since it is larger than the sum of its proper divisors (123944159).

257422401 is an equidigital number, since it uses as much as digits as its factorization.

257422401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9534172 (or 9534166 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 257422401 is about 16044.3884582741. The cubic root of 257422401 is about 636.1342498728.

The spelling of 257422401 in words is "two hundred fifty-seven million, four hundred twenty-two thousand, four hundred one".