257748480 has 400 divisors, whose sum is σ = 1016010864. Its totient is φ = 61931520.

The previous prime is 257748461. The next prime is 257748499. The reversal of 257748480 is 84847752.

257748480 is a `hidden beast` number, since 25 + 77 + 484 + 80 = 666.

257748480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257748461) and next prime (257748499).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280904 + ... + 2281016.

Almost surely, 2^257748480 is an apocalyptic number.

257748480 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 257748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508005432).

257748480 is an abundant number, since it is smaller than the sum of its proper divisors (758262384).

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

257748480 is a wasteful number, since it uses less digits than its factorization.

257748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 257748480 is about 16054.5470194584. The cubic root of 257748480 is about 636.4027353095.

The spelling of 257748480 in words is "two hundred fifty-seven million, seven hundred forty-eight thousand, four hundred eighty".