258352668 has 36 divisors (see below), whose sum is σ = 746352880. Its totient is φ = 73814976.

The previous prime is 258352663. The next prime is 258352697. The reversal of 258352668 is 866253852.

258352668 is a `hidden beast` number, since 2 + 583 + 5 + 2 + 6 + 68 = 666.

258352668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×258352668² = 133492202125436448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258352663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 512353 + ... + 512856.

Almost surely, 2^258352668 is an apocalyptic number.

258352668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

258352668 is an abundant number, since it is smaller than the sum of its proper divisors (488000212).

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

258352668 is a wasteful number, since it uses less digits than its factorization.

258352668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025226 (or 1025221 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 258352668 is about 16073.3527305289. The cubic root of 258352668 is about 636.8996109790.

The spelling of 258352668 in words is "two hundred fifty-eight million, three hundred fifty-two thousand, six hundred sixty-eight".