258020820 has 72 divisors (see below), whose sum is σ = 788895744. Its totient is φ = 68257728.

The previous prime is 258020809. The next prime is 258020827. The reversal of 258020820 is 28020852.

258020820 is a `hidden beast` number, since 2 + 580 + 2 + 0 + 82 + 0 = 666.

258020820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258020827) 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, 17217 + ... + 28503.

Almost surely, 2^258020820 is an apocalyptic number.

258020820 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 258020820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394447872).

258020820 is an abundant number, since it is smaller than the sum of its proper divisors (530874924).

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

258020820 is a wasteful number, since it uses less digits than its factorization.

258020820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11429 (or 11424 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 258020820 is about 16063.0264894260. The cubic root of 258020820 is about 636.6267998879.

It can be divided in two parts, 258020 and 820, that added together give a triangular number (258840 = T₇₁₉).

The spelling of 258020820 in words is "two hundred fifty-eight million, twenty thousand, eight hundred twenty".