257490030 has 128 divisors (see below), whose sum is σ = 749445120. Its totient is φ = 55365120.

The previous prime is 257490011. The next prime is 257490031. The reversal of 257490030 is 30094752.

It is a super-2 number, since 2×257490030² = 132602231098801800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 257490030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257490031) 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, 240336 + ... + 241404.

It is an arithmetic number, because the mean of its divisors is an integer number (5855040).

Almost surely, 2^257490030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257490030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374722560).

257490030 is an abundant number, since it is smaller than the sum of its proper divisors (491955090).

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

257490030 is a wasteful number, since it uses less digits than its factorization.

257490030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 257490030 is about 16046.4958791632. The cubic root of 257490030 is about 636.1899525572.

The spelling of 257490030 in words is "two hundred fifty-seven million, four hundred ninety thousand, thirty".