257884425 has 48 divisors (see below), whose sum is σ = 480504960. Its totient is φ = 135576000.

The previous prime is 257884423. The next prime is 257884427. The reversal of 257884425 is 524488752.

It is an interprime number because it is at equal distance from previous prime (257884423) and next prime (257884427).

It is not a de Polignac number, because 257884425 - 2¹ = 257884423 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (257884423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45235 + ... + 50615.

It is an arithmetic number, because the mean of its divisors is an integer number (10010520).

Almost surely, 2^257884425 is an apocalyptic number.

257884425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257884425 is a deficient number, since it is larger than the sum of its proper divisors (222620535).

257884425 is a wasteful number, since it uses less digits than its factorization.

257884425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5460 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 257884425 is about 16058.7803086038. The cubic root of 257884425 is about 636.5146022012.

The spelling of 257884425 in words is "two hundred fifty-seven million, eight hundred eighty-four thousand, four hundred twenty-five".