257242900 has 36 divisors (see below), whose sum is σ = 587601280. Its totient is φ = 97480800.

The previous prime is 257242889. The next prime is 257242901. The reversal of 257242900 is 9242752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257242901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65796 + ... + 69595.

Almost surely, 2^257242900 is an apocalyptic number.

257242900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257242900 is an abundant number, since it is smaller than the sum of its proper divisors (330358380).

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

257242900 is a wasteful number, since it uses less digits than its factorization.

257242900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135424 (or 135417 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 257242900 is about 16038.7935955296. The cubic root of 257242900 is about 635.9863563915.

The spelling of 257242900 in words is "two hundred fifty-seven million, two hundred forty-two thousand, nine hundred".