257856480 has 192 divisors, whose sum is σ = 1031546880. Its totient is φ = 58931712.

The previous prime is 257856463. The next prime is 257856497. The reversal of 257856480 is 84658752.

257856480 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 564 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (257856463) and next prime (257856497).

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 31 ways as a sum of consecutive naturals, for example, 25977 + ... + 34503.

It is an arithmetic number, because the mean of its divisors is an integer number (5372640).

Almost surely, 2^257856480 is an apocalyptic number.

257856480 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 257856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515773440).

257856480 is an abundant number, since it is smaller than the sum of its proper divisors (773690400).

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

257856480 is a wasteful number, since it uses less digits than its factorization.

257856480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 257856480 is about 16057.9102002720. The cubic root of 257856480 is about 636.4916099336.

The spelling of 257856480 in words is "two hundred fifty-seven million, eight hundred fifty-six thousand, four hundred eighty".