258742380 has 288 divisors, whose sum is σ = 885427200. Its totient is φ = 56070144.

The previous prime is 258742333. The next prime is 258742391. The reversal of 258742380 is 83247852.

258742380 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3275181 + ... + 3275259.

It is an arithmetic number, because the mean of its divisors is an integer number (3074400).

Almost surely, 2^258742380 is an apocalyptic number.

258742380 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 258742380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442713600).

258742380 is an abundant number, since it is smaller than the sum of its proper divisors (626684820).

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

258742380 is a wasteful number, since it uses less digits than its factorization.

258742380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 258742380 is about 16085.4710841803. The cubic root of 258742380 is about 637.2196937620.

The spelling of 258742380 in words is "two hundred fifty-eight million, seven hundred forty-two thousand, three hundred eighty".