257024772 has 96 divisors (see below), whose sum is σ = 688383360. Its totient is φ = 82892160.

The previous prime is 257024749. The next prime is 257024773. The reversal of 257024772 is 277420752.

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

It is not an unprimeable number, because it can be changed into a prime (257024773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474822 + ... + 475362.

It is an arithmetic number, because the mean of its divisors is an integer number (7170660).

Almost surely, 2^257024772 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 257024772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344191680).

257024772 is an abundant number, since it is smaller than the sum of its proper divisors (431358588).

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

257024772 is a wasteful number, since it uses less digits than its factorization.

257024772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

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

The square root of 257024772 is about 16031.9921407166. The cubic root of 257024772 is about 635.8065449354.

The spelling of 257024772 in words is "two hundred fifty-seven million, twenty-four thousand, seven hundred seventy-two".