258224640 has 80 divisors (see below), whose sum is σ = 825536448. Its totient is φ = 68857856.

The previous prime is 258224623. The next prime is 258224641. The reversal of 258224640 is 46422852.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (258224641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9132 + ... + 24491.

Almost surely, 2^258224640 is an apocalyptic number.

258224640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258224640 is an abundant number, since it is smaller than the sum of its proper divisors (567311808).

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

258224640 is an equidigital number, since it uses as much as digits as its factorization.

258224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33649 (or 33633 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 258224640 is about 16069.3696204923. The cubic root of 258224640 is about 636.7943872977.

The spelling of 258224640 in words is "two hundred fifty-eight million, two hundred twenty-four thousand, six hundred forty".