258721632 has 144 divisors (see below), whose sum is σ = 834266160. Its totient is φ = 75396096.

The previous prime is 258721627. The next prime is 258721633. The reversal of 258721632 is 236127852.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258721633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69318 + ... + 72954.

It is an arithmetic number, because the mean of its divisors is an integer number (5793515).

Almost surely, 2^258721632 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 258721632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417133080).

258721632 is an abundant number, since it is smaller than the sum of its proper divisors (575544528).

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

258721632 is a wasteful number, since it uses less digits than its factorization.

258721632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3674 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 258721632 is about 16084.8261414291. The cubic root of 258721632 is about 637.2026608770.

The spelling of 258721632 in words is "two hundred fifty-eight million, seven hundred twenty-one thousand, six hundred thirty-two".