258472032 has 96 divisors (see below), whose sum is σ = 835091712. Its totient is φ = 68166144.

The previous prime is 258472031. The next prime is 258472033. The reversal of 258472032 is 230274852.

It is an interprime number because it is at equal distance from previous prime (258472031) and next prime (258472033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 258471984 and 258472002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258472031) 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, 6058 + ... + 23529.

It is an arithmetic number, because the mean of its divisors is an integer number (8698872).

Almost surely, 2^258472032 is an apocalyptic number.

It is an amenable number.

258472032 is an abundant number, since it is smaller than the sum of its proper divisors (576619680).

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

258472032 is a wasteful number, since it uses less digits than its factorization.

258472032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29620 (or 29612 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 258472032 is about 16077.0654038602. The cubic root of 258472032 is about 636.9976825811.

The spelling of 258472032 in words is "two hundred fifty-eight million, four hundred seventy-two thousand, thirty-two".