257364417 has 8 divisors (see below), whose sum is σ = 351133024. Its totient is φ = 167586048.

The previous prime is 257364413. The next prime is 257364467. The reversal of 257364417 is 714463752.

257364417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257364417 - 2² = 257364413 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257364413) 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, 997408 + ... + 997665.

It is an arithmetic number, because the mean of its divisors is an integer number (43891628).

Almost surely, 2^257364417 is an apocalyptic number.

It is an amenable number.

257364417 is a deficient number, since it is larger than the sum of its proper divisors (93768607).

257364417 is a wasteful number, since it uses less digits than its factorization.

257364417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995119.

The product of its digits is 141120, while the sum is 39.

The square root of 257364417 is about 16042.5813695926. The cubic root of 257364417 is about 636.0864835323.

The spelling of 257364417 in words is "two hundred fifty-seven million, three hundred sixty-four thousand, four hundred seventeen".