258364240 has 40 divisors (see below), whose sum is σ = 601432488. Its totient is φ = 103219200.

The previous prime is 258364237. The next prime is 258364259. The reversal of 258364240 is 42463852.

258364240 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 4 ways, for example, as 55472704 + 202891536 = 7448^2 + 14244^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 258364196 and 258364205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90840 + ... + 93640.

Almost surely, 2^258364240 is an apocalyptic number.

258364240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258364240 is an abundant number, since it is smaller than the sum of its proper divisors (343068248).

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

258364240 is a wasteful number, since it uses less digits than its factorization.

258364240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 258364240 is about 16073.7127011777. The cubic root of 258364240 is about 636.9091200638.

The spelling of 258364240 in words is "two hundred fifty-eight million, three hundred sixty-four thousand, two hundred forty".