257936246400 has 384 divisors, whose sum is σ = 972079747200. Its totient is φ = 58888028160.

The previous prime is 257936246371. The next prime is 257936246413. The reversal of 257936246400 is 4642639752.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×257936246400² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 257936246400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77479936 + ... + 77483264.

It is an arithmetic number, because the mean of its divisors is an integer number (2531457675).

Almost surely, 2^257936246400 is an apocalyptic number.

257936246400 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 257936246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486039873600).

257936246400 is an abundant number, since it is smaller than the sum of its proper divisors (714143500800).

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

257936246400 is a wasteful number, since it uses less digits than its factorization.

257936246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 257936246400 in words is "two hundred fifty-seven billion, nine hundred thirty-six million, two hundred forty-six thousand, four hundred".