257472720 has 120 divisors (see below), whose sum is σ = 867588072. Its totient is φ = 68428800.

The previous prime is 257472697. The next prime is 257472739. The reversal of 257472720 is 27274752.

257472720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 44195904 + 213276816 = 6648^2 + 14604^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 389190 + ... + 389850.

Almost surely, 2^257472720 is an apocalyptic number.

257472720 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 257472720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433794036).

257472720 is an abundant number, since it is smaller than the sum of its proper divisors (610115352).

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

257472720 is a wasteful number, since it uses less digits than its factorization.

257472720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 257472720 is about 16045.9565000034. The cubic root of 257472720 is about 636.1756960895.

The spelling of 257472720 in words is "two hundred fifty-seven million, four hundred seventy-two thousand, seven hundred twenty".