257738880 has 256 divisors, whose sum is σ = 952565760. Its totient is φ = 58060800.

The previous prime is 257738879. The next prime is 257738881. The reversal of 257738880 is 88837752.

It is an interprime number because it is at equal distance from previous prime (257738879) and next prime (257738881).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257738881) 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, 1706805 + ... + 1706955.

It is an arithmetic number, because the mean of its divisors is an integer number (3720960).

Almost surely, 2^257738880 is an apocalyptic number.

257738880 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 257738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476282880).

257738880 is an abundant number, since it is smaller than the sum of its proper divisors (694826880).

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

257738880 is a wasteful number, since it uses less digits than its factorization.

257738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 257738880 is about 16054.2480359561. The cubic root of 257738880 is about 636.3948341415.

The spelling of 257738880 in words is "two hundred fifty-seven million, seven hundred thirty-eight thousand, eight hundred eighty".