258204240 has 160 divisors (see below), whose sum is σ = 1016482560. Its totient is φ = 59014656.

The previous prime is 258204217. The next prime is 258204253. The reversal of 258204240 is 42402852.

It is a happy number.

258204240 is a `hidden beast` number, since 2 + 582 + 0 + 42 + 40 = 666.

258204240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6582 + ... + 23658.

It is an arithmetic number, because the mean of its divisors is an integer number (6353016).

Almost surely, 2^258204240 is an apocalyptic number.

258204240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508241280).

258204240 is an abundant number, since it is smaller than the sum of its proper divisors (758278320).

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

258204240 is a wasteful number, since it uses less digits than its factorization.

258204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17106 (or 17094 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 258204240 is about 16068.7348599695. The cubic root of 258204240 is about 636.7776177288. Note that the first 3 decimals are identical.

The spelling of 258204240 in words is "two hundred fifty-eight million, two hundred four thousand, two hundred forty".