257572224 has 432 divisors, whose sum is σ = 968205420. Its totient is φ = 67931136.

The previous prime is 257572213. The next prime is 257572241. The reversal of 257572224 is 422275752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

257572224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

Its product of digits (78400) is a multiple of the sum of its prime divisors (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19813242 + ... + 19813254.

Almost surely, 2^257572224 is an apocalyptic number.

257572224 is a gapful number since it is divisible by the number (24) 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 257572224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484102710).

257572224 is an abundant number, since it is smaller than the sum of its proper divisors (710633196).

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

257572224 is an equidigital number, since it uses as much as digits as its factorization.

257572224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 257572224 is about 16049.0567947154. The cubic root of 257572224 is about 636.2576385876.

The spelling of 257572224 in words is "two hundred fifty-seven million, five hundred seventy-two thousand, two hundred twenty-four".