257221298400 has 288 divisors, whose sum is σ = 914246984448. Its totient is φ = 62296780800.

The previous prime is 257221298393. The next prime is 257221298447. The reversal of 257221298400 is 4892122752.

257221298400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31491117 + ... + 31499283.

It is an arithmetic number, because the mean of its divisors is an integer number (3174468696).

Almost surely, 2^257221298400 is an apocalyptic number.

257221298400 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 257221298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457123492224).

257221298400 is an abundant number, since it is smaller than the sum of its proper divisors (657025686048).

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

257221298400 is a wasteful number, since it uses less digits than its factorization.

257221298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9394 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 257221298400 in words is "two hundred fifty-seven billion, two hundred twenty-one million, two hundred ninety-eight thousand, four hundred".