258742428 has 48 divisors (see below), whose sum is σ = 696111360. Its totient is φ = 73269504.

The previous prime is 258742427. The next prime is 258742439. The reversal of 258742428 is 824247852.

258742428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 258742428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258742427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4138 + ... + 23121.

It is an arithmetic number, because the mean of its divisors is an integer number (14502320).

Almost surely, 2^258742428 is an apocalyptic number.

258742428 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

258742428 is an abundant number, since it is smaller than the sum of its proper divisors (437368932).

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

258742428 is a wasteful number, since it uses less digits than its factorization.

258742428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27386 (or 27384 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 258742428 is about 16085.4725762099. The cubic root of 258742428 is about 637.2197331661.

The spelling of 258742428 in words is "two hundred fifty-eight million, seven hundred forty-two thousand, four hundred twenty-eight".