258478824 has 32 divisors (see below), whose sum is σ = 646981920. Its totient is φ = 86054976.

The previous prime is 258478819. The next prime is 258478861. The reversal of 258478824 is 428874852.

It is a super-2 number, since 2×258478824² = 133622604912845952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15094 + ... + 27290.

It is an arithmetic number, because the mean of its divisors is an integer number (20218185).

Almost surely, 2^258478824 is an apocalyptic number.

258478824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

258478824 is an abundant number, since it is smaller than the sum of its proper divisors (388503096).

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

258478824 is a wasteful number, since it uses less digits than its factorization.

258478824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13089 (or 13085 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 48.

The square root of 258478824 is about 16077.2766350523. The cubic root of 258478824 is about 637.0032621021.

The spelling of 258478824 in words is "two hundred fifty-eight million, four hundred seventy-eight thousand, eight hundred twenty-four".