258883032 has 64 divisors (see below), whose sum is σ = 686880000. Its totient is φ = 81133184.

The previous prime is 258883013. The next prime is 258883057. The reversal of 258883032 is 230388852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28594 + ... + 36542.

It is an arithmetic number, because the mean of its divisors is an integer number (10732500).

Almost surely, 2^258883032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258883032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343440000).

258883032 is an abundant number, since it is smaller than the sum of its proper divisors (427996968).

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

258883032 is a wasteful number, since it uses less digits than its factorization.

258883032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8040 (or 8036 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 258883032 is about 16089.8425101056. The cubic root of 258883032 is about 637.3351367611.

It can be divided in two parts, 25888 and 3032, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 258883032 in words is "two hundred fifty-eight million, eight hundred eighty-three thousand, thirty-two".