257448834720 has 1152 divisors, whose sum is σ = 1141846917120. Its totient is φ = 51686553600.

The previous prime is 257448834719. The next prime is 257448834739. The reversal of 257448834720 is 27438844752.

257448834720 is a `hidden beast` number, since 2 + 57 + 4 + 48 + 83 + 472 + 0 = 666.

257448834720 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 415910571 + ... + 415911189.

It is an arithmetic number, because the mean of its divisors is an integer number (991186560).

Almost surely, 2^257448834720 is an apocalyptic number.

257448834720 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 257448834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570923458560).

257448834720 is an abundant number, since it is smaller than the sum of its proper divisors (884398082400).

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

257448834720 is a wasteful number, since it uses less digits than its factorization.

257448834720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 257448834720 in words is "two hundred fifty-seven billion, four hundred forty-eight million, eight hundred thirty-four thousand, seven hundred twenty".