257448480 has 96 divisors (see below), whose sum is σ = 853675200. Its totient is φ = 65037312.

The previous prime is 257448473. The next prime is 257448497. The reversal of 257448480 is 84844752.

It is a tau number, because it is divible by the number of its divisors (96).

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, 4995 + ... + 23234.

It is an arithmetic number, because the mean of its divisors is an integer number (8892450).

Almost surely, 2^257448480 is an apocalyptic number.

257448480 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 257448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426837600).

257448480 is an abundant number, since it is smaller than the sum of its proper divisors (596226720).

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

257448480 is a wasteful number, since it uses less digits than its factorization.

257448480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28266 (or 28258 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 257448480 is about 16045.2011517463. The cubic root of 257448480 is about 636.1557310193.

The spelling of 257448480 in words is "two hundred fifty-seven million, four hundred forty-eight thousand, four hundred eighty".