257352120 has 256 divisors, whose sum is σ = 923788800. Its totient is φ = 63498240.

The previous prime is 257352101. The next prime is 257352127. The reversal of 257352120 is 21253752.

It is a super-3 number, since 3×257352120³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257352127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1964455 + ... + 1964585.

It is an arithmetic number, because the mean of its divisors is an integer number (3608550).

Almost surely, 2^257352120 is an apocalyptic number.

257352120 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 257352120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461894400).

257352120 is an abundant number, since it is smaller than the sum of its proper divisors (666436680).

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

257352120 is a wasteful number, since it uses less digits than its factorization.

257352120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 257352120 is about 16042.1981037512. The cubic root of 257352120 is about 636.0763525280.

The spelling of 257352120 in words is "two hundred fifty-seven million, three hundred fifty-two thousand, one hundred twenty".