257170464 has 120 divisors (see below), whose sum is σ = 772789248. Its totient is φ = 83859840.

The previous prime is 257170421. The next prime is 257170483. The reversal of 257170464 is 464071752.

257170464 is a `hidden beast` number, since 25 + 7 + 170 + 464 = 666.

It is a super-2 number, since 2×257170464² = 132273295107950592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 120769 + ... + 122879.

Almost surely, 2^257170464 is an apocalyptic number.

257170464 is a gapful number since it is divisible by the number (24) 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 257170464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386394624).

257170464 is an abundant number, since it is smaller than the sum of its proper divisors (515618784).

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

257170464 is a wasteful number, since it uses less digits than its factorization.

257170464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 257170464 is about 16036.5352866509. The cubic root of 257170464 is about 635.9266558355.

The spelling of 257170464 in words is "two hundred fifty-seven million, one hundred seventy thousand, four hundred sixty-four".