258374952 has 96 divisors (see below), whose sum is σ = 770402880. Its totient is φ = 77575680.

The previous prime is 258374929. The next prime is 258374999. The reversal of 258374952 is 259473852.

It is a junction number, because it is equal to n+sod(n) for n = 258374898 and 258374907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88053 + ... + 90939.

It is an arithmetic number, because the mean of its divisors is an integer number (8025030).

Almost surely, 2^258374952 is an apocalyptic number.

258374952 is a gapful number since it is divisible by the number (22) 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 258374952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385201440).

258374952 is an abundant number, since it is smaller than the sum of its proper divisors (512027928).

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

258374952 is a wasteful number, since it uses less digits than its factorization.

258374952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3016 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 258374952 is about 16074.0459125884. The cubic root of 258374952 is about 636.9179222058.

The spelling of 258374952 in words is "two hundred fifty-eight million, three hundred seventy-four thousand, nine hundred fifty-two".