257011480 has 128 divisors (see below), whose sum is σ = 674956800. Its totient is φ = 87091200.

The previous prime is 257011451. The next prime is 257011481. The reversal of 257011480 is 84110752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257011481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593344 + ... + 593776.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2^257011480 is an apocalyptic number.

257011480 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 257011480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

257011480 is an abundant number, since it is smaller than the sum of its proper divisors (417945320).

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

257011480 is a wasteful number, since it uses less digits than its factorization.

257011480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 257011480 is about 16031.5775892455. The cubic root of 257011480 is about 635.7955845311.

The spelling of 257011480 in words is "two hundred fifty-seven million, eleven thousand, four hundred eighty".