257126400 has 390 divisors, whose sum is σ = 983182112. Its totient is φ = 66355200.

The previous prime is 257126351. The next prime is 257126423. The reversal of 257126400 is 4621752.

257126400 is a `hidden beast` number, since 2 + 5 + 7 + 12 + 640 + 0 = 666.

It is a super-2 number, since 2×257126400² = 132227971153920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8294385 + ... + 8294415.

Almost surely, 2^257126400 is an apocalyptic number.

257126400 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 257126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491591056).

257126400 is an abundant number, since it is smaller than the sum of its proper divisors (726055712).

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

257126400 is an equidigital number, since it uses as much as digits as its factorization.

257126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 257126400 is about 16035.1613649505. The cubic root of 257126400 is about 635.8903335297.

The spelling of 257126400 in words is "two hundred fifty-seven million, one hundred twenty-six thousand, four hundred".