257952240 has 480 divisors, whose sum is σ = 1109262336. Its totient is φ = 52254720.

The previous prime is 257952221. The next prime is 257952257. The reversal of 257952240 is 42259752.

It is a happy number.

257952240 is a `hidden beast` number, since 25 + 79 + 522 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 257952195 and 257952204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2031057 + ... + 2031183.

Almost surely, 2^257952240 is an apocalyptic number.

257952240 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 257952240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554631168).

257952240 is an abundant number, since it is smaller than the sum of its proper divisors (851310096).

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

257952240 is a wasteful number, since it uses less digits than its factorization.

257952240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 257952240 is about 16060.8916315378. The cubic root of 257952240 is about 636.5703913460.

The spelling of 257952240 in words is "two hundred fifty-seven million, nine hundred fifty-two thousand, two hundred forty".