257257060 has 24 divisors (see below), whose sum is σ = 543687480. Its totient is φ = 102246144.

The previous prime is 257256983. The next prime is 257257061. The reversal of 257257060 is 60752752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 256192036 = 1032^2 + 16006^2 .

It is not an unprimeable number, because it can be changed into a prime (257257061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37825 + ... + 44104.

It is an arithmetic number, because the mean of its divisors is an integer number (22653645).

Almost surely, 2^257257060 is an apocalyptic number.

257257060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257257060 is an abundant number, since it is smaller than the sum of its proper divisors (286430420).

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

257257060 is a wasteful number, since it uses less digits than its factorization.

257257060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82095 (or 82093 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 257257060 is about 16039.2350191647. The cubic root of 257257060 is about 635.9980255203.

The spelling of 257257060 in words is "two hundred fifty-seven million, two hundred fifty-seven thousand, sixty".