257105380 has 24 divisors (see below), whose sum is σ = 617053248. Its totient is φ = 88150368.

The previous prime is 257105377. The next prime is 257105393. The reversal of 257105380 is 83501752.

It is a super-2 number, since 2×257105380² = 132206352849888800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 918094 + ... + 918373.

It is an arithmetic number, because the mean of its divisors is an integer number (25710552).

Almost surely, 2^257105380 is an apocalyptic number.

257105380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257105380 is an abundant number, since it is smaller than the sum of its proper divisors (359947868).

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

257105380 is a wasteful number, since it uses less digits than its factorization.

257105380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836483 (or 1836481 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 257105380 is about 16034.5059169280. The cubic root of 257105380 is about 635.8730051145.

The spelling of 257105380 in words is "two hundred fifty-seven million, one hundred five thousand, three hundred eighty".