257224272 has 80 divisors (see below), whose sum is σ = 698431488. Its totient is φ = 81417600.

The previous prime is 257224243. The next prime is 257224277. The reversal of 257224272 is 272422752.

It is a super-2 number, since 2×257224272² = 132328652211859968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257224277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165933 + ... + 167475.

Almost surely, 2^257224272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257224272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349215744).

257224272 is an abundant number, since it is smaller than the sum of its proper divisors (441207216).

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

257224272 is a wasteful number, since it uses less digits than its factorization.

257224272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1722 counting only the distinct ones).

The product of its digits is 31360, while the sum is 33.

The square root of 257224272 is about 16038.2128680224. The cubic root of 257224272 is about 635.9710045719.

The spelling of 257224272 in words is "two hundred fifty-seven million, two hundred twenty-four thousand, two hundred seventy-two".