257974420 has 60 divisors (see below), whose sum is σ = 596593620. Its totient is φ = 93702400.

The previous prime is 257974411. The next prime is 257974433. The reversal of 257974420 is 24479752.

It can be written as a sum of positive squares in 2 ways, for example, as 67699984 + 190274436 = 8228^2 + 13794^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 292380 + ... + 293260.

It is an arithmetic number, because the mean of its divisors is an integer number (9943227).

Almost surely, 2^257974420 is an apocalyptic number.

257974420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257974420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298296810).

257974420 is an abundant number, since it is smaller than the sum of its proper divisors (338619200).

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

257974420 is an equidigital number, since it uses as much as digits as its factorization.

257974420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 257974420 is about 16061.5821138517. The cubic root of 257974420 is about 636.5886359723.

The spelling of 257974420 in words is "two hundred fifty-seven million, nine hundred seventy-four thousand, four hundred twenty".