257012442 has 48 divisors (see below), whose sum is σ = 601136640. Its totient is φ = 79116576.

The previous prime is 257012429. The next prime is 257012447. The reversal of 257012442 is 244210752.

It is not an unprimeable number, because it can be changed into a prime (257012447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1303 + ... + 22709.

It is an arithmetic number, because the mean of its divisors is an integer number (12523680).

Almost surely, 2^257012442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257012442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300568320).

257012442 is an abundant number, since it is smaller than the sum of its proper divisors (344124198).

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

257012442 is a wasteful number, since it uses less digits than its factorization.

257012442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21467 (or 21464 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 257012442 is about 16031.6075925030. The cubic root of 257012442 is about 635.7963777960.

The spelling of 257012442 in words is "two hundred fifty-seven million, twelve thousand, four hundred forty-two".