258472020 has 96 divisors (see below), whose sum is σ = 740880000. Its totient is φ = 67313664.

The previous prime is 258472007. The next prime is 258472031. The reversal of 258472020 is 20274852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517731 + ... + 518229.

It is an arithmetic number, because the mean of its divisors is an integer number (7717500).

Almost surely, 2^258472020 is an apocalyptic number.

258472020 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 258472020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370440000).

258472020 is an abundant number, since it is smaller than the sum of its proper divisors (482407980).

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

258472020 is a wasteful number, since it uses less digits than its factorization.

258472020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 258472020 is about 16077.0650306578. The cubic root of 258472020 is about 636.9976727232.

The spelling of 258472020 in words is "two hundred fifty-eight million, four hundred seventy-two thousand, twenty".