257363604 has 18 divisors (see below), whose sum is σ = 650558090. Its totient is φ = 85787856.

The previous prime is 257363599. The next prime is 257363609. The reversal of 257363604 is 406363752.

It is an interprime number because it is at equal distance from previous prime (257363599) and next prime (257363609).

It can be written as a sum of positive squares in only one way, i.e., 256064004 + 1299600 = 16002^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 7148989 = 257363604 / (2 + 5 + 7 + 3 + 6 + 3 + 6 + 0 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257363609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3574459 + ... + 3574530.

Almost surely, 2^257363604 is an apocalyptic number.

It is an amenable number.

257363604 is an abundant number, since it is smaller than the sum of its proper divisors (393194486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257363604 is a wasteful number, since it uses less digits than its factorization.

257363604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7148999 (or 7148994 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 257363604 is about 16042.5560307577. The cubic root of 257363604 is about 636.0858137442.

The spelling of 257363604 in words is "two hundred fifty-seven million, three hundred sixty-three thousand, six hundred four".