257069520 has 120 divisors (see below), whose sum is σ = 866882016. Its totient is φ = 68269824.

The previous prime is 257069513. The next prime is 257069521. The reversal of 257069520 is 25960752.

257069520 is a `hidden beast` number, since 2 + 5 + 70 + 69 + 520 = 666.

257069520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×257069520² = 132169476226060800, 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 not an unprimeable number, because it can be changed into a prime (257069521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220459 + ... + 221621.

Almost surely, 2^257069520 is an apocalyptic number.

257069520 is a gapful number since it is divisible by the number (20) 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 257069520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433441008).

257069520 is an abundant number, since it is smaller than the sum of its proper divisors (609812496).

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

257069520 is a wasteful number, since it uses less digits than its factorization.

257069520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 257069520 is about 16033.3876644956. The cubic root of 257069520 is about 635.8434407569.

The spelling of 257069520 in words is "two hundred fifty-seven million, sixty-nine thousand, five hundred twenty".