257130024 has 128 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 79511040.

The previous prime is 257130023. The next prime is 257130053. The reversal of 257130024 is 420031752.

It is a super-2 number, since 2×257130024² = 132231698484481152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 257129976 and 257130003.

It is not an unprimeable number, because it can be changed into a prime (257130023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2496357 + ... + 2496459.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2^257130024 is an apocalyptic number.

257130024 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 257130024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345945600).

257130024 is an abundant number, since it is smaller than the sum of its proper divisors (434761176).

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

257130024 is a wasteful number, since it uses less digits than its factorization.

257130024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 257130024 is about 16035.2743662215. The cubic root of 257130024 is about 635.8933209784.

Adding to 257130024 its reverse (420031752), we get a palindrome (677161776).

The spelling of 257130024 in words is "two hundred fifty-seven million, one hundred thirty thousand, twenty-four".