257516240 has 20 divisors (see below), whose sum is σ = 598725444. Its totient is φ = 103006464.

The previous prime is 257516239. The next prime is 257516251. The reversal of 257516240 is 42615752.

257516240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 76667536 + 180848704 = 8756^2 + 13448^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×257516240² = 132629227727475200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257516197 and 257516206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1609397 + ... + 1609556.

Almost surely, 2^257516240 is an apocalyptic number.

257516240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257516240 is an abundant number, since it is smaller than the sum of its proper divisors (341209204).

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

257516240 is a wasteful number, since it uses less digits than its factorization.

257516240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218966 (or 3218960 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 257516240 is about 16047.3125475888. The cubic root of 257516240 is about 636.2115378239.

The spelling of 257516240 in words is "two hundred fifty-seven million, five hundred sixteen thousand, two hundred forty".