258474852 has 36 divisors (see below), whose sum is σ = 665699580. Its totient is φ = 84532032.

The previous prime is 258474847. The next prime is 258474877.

258474852 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 637³-1.

It can be written as a sum of positive squares in 2 ways, for example, as 141705216 + 116769636 = 11904^2 + 10806^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 258474798 and 258474807.

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, 65827 + ... + 69642.

It is an arithmetic number, because the mean of its divisors is an integer number (18491655).

Almost surely, 2^258474852 is an apocalyptic number.

It is an amenable number.

258474852 is an abundant number, since it is smaller than the sum of its proper divisors (407224728).

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

258474852 is a wasteful number, since it uses less digits than its factorization.

258474852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135532 (or 135527 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 258474852 is about 16077.1531061939. The cubic root of 258474852 is about 636.9999991785. Note that the first 6 decimals are identical.

The spelling of 258474852 in words is "two hundred fifty-eight million, four hundred seventy-four thousand, eight hundred fifty-two".