257328414720 has 480 divisors, whose sum is σ = 961836876000. Its totient is φ = 63266881536.

The previous prime is 257328414709. The next prime is 257328414743. The reversal of 257328414720 is 27414823752.

257328414720 is a `hidden beast` number, since 2 + 573 + 2 + 8 + 4 + 1 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 23 ways as a sum of consecutive naturals, for example, 306708061 + ... + 306708899.

It is an arithmetic number, because the mean of its divisors is an integer number (2003826825).

Almost surely, 2^257328414720 is an apocalyptic number.

257328414720 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 257328414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480918438000).

257328414720 is an abundant number, since it is smaller than the sum of its proper divisors (704508461280).

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

257328414720 is an frugal number, since it uses more digits than its factorization.

257328414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 257328414720 in words is "two hundred fifty-seven billion, three hundred twenty-eight million, four hundred fourteen thousand, seven hundred twenty".