257032465 has 8 divisors (see below), whose sum is σ = 308671848. Its totient is φ = 205470720.

The previous prime is 257032463. The next prime is 257032471. The reversal of 257032465 is 564230752.

257032465 = 11336² + 11337².

It can be written as a sum of positive squares in 4 ways, for example, as 100982401 + 156050064 = 10049^2 + 12492^2 .

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

It is not a de Polignac number, because 257032465 - 2¹ = 257032463 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257032465.

It is not an unprimeable number, because it can be changed into a prime (257032463) 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, 11856 + ... + 25585.

It is an arithmetic number, because the mean of its divisors is an integer number (38583981).

Almost surely, 2^257032465 is an apocalyptic number.

257032465 is the 11337-th centered square number.

It is an amenable number.

257032465 is a deficient number, since it is larger than the sum of its proper divisors (51639383).

257032465 is a wasteful number, since it uses less digits than its factorization.

257032465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38819.

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 257032465 is about 16032.2320654362. The cubic root of 257032465 is about 635.8128883071.

The spelling of 257032465 in words is "two hundred fifty-seven million, thirty-two thousand, four hundred sixty-five".