257145812 has 72 divisors (see below), whose sum is σ = 573793920. Its totient is φ = 98683200.

The previous prime is 257145803. The next prime is 257145841. The reversal of 257145812 is 218541752.

It is a super-2 number, since 2×257145812² = 132247937258278688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240014 + ... + 241082.

It is an arithmetic number, because the mean of its divisors is an integer number (7969360).

Almost surely, 2^257145812 is an apocalyptic number.

257145812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257145812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286896960).

257145812 is an abundant number, since it is smaller than the sum of its proper divisors (316648108).

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

257145812 is a wasteful number, since it uses less digits than its factorization.

257145812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1160 counting only the distinct ones).

The product of its digits is 22400, while the sum is 35.

The square root of 257145812 is about 16035.7666483396. The cubic root of 257145812 is about 635.9063355071.

The spelling of 257145812 in words is "two hundred fifty-seven million, one hundred forty-five thousand, eight hundred twelve".