257527452 has 96 divisors (see below), whose sum is σ = 746468352. Its totient is φ = 67286016.

The previous prime is 257527451. The next prime is 257527489. The reversal of 257527452 is 254725752.

It is a super-2 number, since 2×257527452² = 132640777067224608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 257527452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257527451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122353 + ... + 124439.

It is an arithmetic number, because the mean of its divisors is an integer number (7775712).

Almost surely, 2^257527452 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 257527452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373234176).

257527452 is an abundant number, since it is smaller than the sum of its proper divisors (488940900).

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

257527452 is a wasteful number, since it uses less digits than its factorization.

257527452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2225 counting only the distinct ones).

The product of its digits is 196000, while the sum is 39.

The square root of 257527452 is about 16047.6618857702. The cubic root of 257527452 is about 636.2207710283.

The spelling of 257527452 in words is "two hundred fifty-seven million, five hundred twenty-seven thousand, four hundred fifty-two".