257412540 has 96 divisors (see below), whose sum is σ = 898619904. Its totient is φ = 53487360.

The previous prime is 257412517. The next prime is 257412541. The reversal of 257412540 is 45214752.

It is a super-2 number, since 2×257412540² = 132522431498503200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 257412498 and 257412507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257412541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23239 + ... + 32478.

It is an arithmetic number, because the mean of its divisors is an integer number (9360624).

Almost surely, 2^257412540 is an apocalyptic number.

257412540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257412540 is an abundant number, since it is smaller than the sum of its proper divisors (641207364).

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

257412540 is a wasteful number, since it uses less digits than its factorization.

257412540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55747 (or 55745 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 257412540 is about 16044.0811516272. The cubic root of 257412540 is about 636.1261270367.

The spelling of 257412540 in words is "two hundred fifty-seven million, four hundred twelve thousand, five hundred forty".