257948900 has 36 divisors (see below), whose sum is σ = 610638000. Its totient is φ = 93799200.

The previous prime is 257948897. The next prime is 257948903. The reversal of 257948900 is 9849752.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (257948897) and next prime (257948903).

It is a super-2 number, since 2×257948900² = 133075270022420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (257948903) 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, 116150 + ... + 118349.

Almost surely, 2^257948900 is an apocalyptic number.

257948900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257948900 is an abundant number, since it is smaller than the sum of its proper divisors (352689100).

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

257948900 is a wasteful number, since it uses less digits than its factorization.

257948900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234524 (or 234517 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 257948900 is about 16060.7876519179. The cubic root of 257948900 is about 636.5676438681.

The spelling of 257948900 in words is "two hundred fifty-seven million, nine hundred forty-eight thousand, nine hundred".