258919920 has 360 divisors, whose sum is σ = 1041964560. Its totient is φ = 57415680.

The previous prime is 258919919. The next prime is 258919937. The reversal of 258919920 is 29919852.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1446391 + ... + 1446569.

It is an arithmetic number, because the mean of its divisors is an integer number (2894346).

Almost surely, 2^258919920 is an apocalyptic number.

258919920 is a gapful number since it is divisible by the number (20) 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 258919920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520982280).

258919920 is an abundant number, since it is smaller than the sum of its proper divisors (783044640).

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

258919920 is a wasteful number, since it uses less digits than its factorization.

258919920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 258919920 is about 16090.9887825453. The cubic root of 258919920 is about 637.3654064184.

The spelling of 258919920 in words is "two hundred fifty-eight million, nine hundred nineteen thousand, nine hundred twenty".