258066732 has 144 divisors (see below), whose sum is σ = 809440128. Its totient is φ = 63060480.

The previous prime is 258066719. The next prime is 258066733. The reversal of 258066732 is 237660852.

258066732 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (258066733) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108783 + ... + 111129.

It is an arithmetic number, because the mean of its divisors is an integer number (5621112).

Almost surely, 2^258066732 is an apocalyptic number.

258066732 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 258066732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404720064).

258066732 is an abundant number, since it is smaller than the sum of its proper divisors (551373396).

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

258066732 is a wasteful number, since it uses less digits than its factorization.

258066732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 258066732 is about 16064.4555463296. The cubic root of 258066732 is about 636.6645579212.

The spelling of 258066732 in words is "two hundred fifty-eight million, sixty-six thousand, seven hundred thirty-two".