257980480 has 112 divisors (see below), whose sum is σ = 653247360. Its totient is φ = 96768000.

The previous prime is 257980477. The next prime is 257980483. The reversal of 257980480 is 84089752.

It is an interprime number because it is at equal distance from previous prime (257980477) and next prime (257980483).

It is a super-2 number, since 2×257980480² = 133107856122060800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257980483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917940 + ... + 918220.

Almost surely, 2^257980480 is an apocalyptic number.

257980480 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 257980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326623680).

257980480 is an abundant number, since it is smaller than the sum of its proper divisors (395266880).

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

257980480 is a wasteful number, since it uses less digits than its factorization.

257980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 257980480 is about 16061.7707616564. The cubic root of 257980480 is about 636.5936205710.

The spelling of 257980480 in words is "two hundred fifty-seven million, nine hundred eighty thousand, four hundred eighty".