258274080 has 72 divisors (see below), whose sum is σ = 881365212. Its totient is φ = 68872704.

The previous prime is 258274057. The next prime is 258274091. The reversal of 258274080 is 80472852.

It is a happy number.

258274080 is a `hidden beast` number, since 2 + 582 + 74 + 0 + 8 + 0 = 666.

258274080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 246741264 + 11532816 = 15708^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88239 + ... + 91118.

Almost surely, 2^258274080 is an apocalyptic number.

258274080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258274080 is an abundant number, since it is smaller than the sum of its proper divisors (623091132).

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

258274080 is a wasteful number, since it uses less digits than its factorization.

258274080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179378 (or 179367 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 258274080 is about 16070.9078772794. The cubic root of 258274080 is about 636.8350251772.

The spelling of 258274080 in words is "two hundred fifty-eight million, two hundred seventy-four thousand, eighty".