257506740 has 36 divisors (see below), whose sum is σ = 781104324. Its totient is φ = 68668416.

The previous prime is 257506727. The next prime is 257506759. The reversal of 257506740 is 47605752.

It can be written as a sum of positive squares in 2 ways, for example, as 55980324 + 201526416 = 7482^2 + 14196^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×257506740² = 132619442290855200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 257506695 and 257506704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 715117 + ... + 715476.

Almost surely, 2^257506740 is an apocalyptic number.

257506740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257506740 is an abundant number, since it is smaller than the sum of its proper divisors (523597584).

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

257506740 is a wasteful number, since it uses less digits than its factorization.

257506740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430608 (or 1430603 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 257506740 is about 16047.0165451401. The cubic root of 257506740 is about 636.2037142605.

The spelling of 257506740 in words is "two hundred fifty-seven million, five hundred six thousand, seven hundred forty".