257970240 has 336 divisors, whose sum is σ = 1027054080. Its totient is φ = 58736640.

The previous prime is 257970233. The next prime is 257970241. The reversal of 257970240 is 42079752.

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 = 257970195 and 257970204.

It is not an unprimeable number, because it can be changed into a prime (257970241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538321 + ... + 538799.

Almost surely, 2^257970240 is an apocalyptic number.

257970240 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 257970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513527040).

257970240 is an abundant number, since it is smaller than the sum of its proper divisors (769083840).

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

257970240 is a wasteful number, since it uses less digits than its factorization.

257970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 257970240 is about 16061.4519891571. The cubic root of 257970240 is about 636.5851977052.

The spelling of 257970240 in words is "two hundred fifty-seven million, nine hundred seventy thousand, two hundred forty".