257869440 has 128 divisors (see below), whose sum is σ = 913348800. Its totient is φ = 68760576.

The previous prime is 257869427. The next prime is 257869457. The reversal of 257869440 is 44968752.

It is a happy number.

257869440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9819 + ... + 24741.

Almost surely, 2^257869440 is an apocalyptic number.

257869440 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 257869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456674400).

257869440 is an abundant number, since it is smaller than the sum of its proper divisors (655479360).

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

257869440 is a wasteful number, since it uses less digits than its factorization.

257869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14951 (or 14933 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 257869440 is about 16058.3137346360. The cubic root of 257869440 is about 636.5022732208.

The spelling of 257869440 in words is "two hundred fifty-seven million, eight hundred sixty-nine thousand, four hundred forty".