257882420 has 48 divisors (see below), whose sum is σ = 555787008. Its totient is φ = 100464000.

The previous prime is 257882399. The next prime is 257882423. The reversal of 257882420 is 24288752.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257882423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235394 + ... + 236486.

It is an arithmetic number, because the mean of its divisors is an integer number (11578896).

Almost surely, 2^257882420 is an apocalyptic number.

257882420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257882420 is an abundant number, since it is smaller than the sum of its proper divisors (297904588).

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

257882420 is a wasteful number, since it uses less digits than its factorization.

257882420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 257882420 is about 16058.7178815745. The cubic root of 257882420 is about 636.5129526055.

The spelling of 257882420 in words is "two hundred fifty-seven million, eight hundred eighty-two thousand, four hundred twenty".