258012820 has 24 divisors (see below), whose sum is σ = 583506504. Its totient is φ = 95266176.

The previous prime is 258012763. The next prime is 258012847. The reversal of 258012820 is 28210852.

It can be written as a sum of positive squares in 4 ways, for example, as 23677956 + 234334864 = 4866^2 + 15308^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495919 + ... + 496438.

It is an arithmetic number, because the mean of its divisors is an integer number (24312771).

Almost surely, 2^258012820 is an apocalyptic number.

258012820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258012820 is an abundant number, since it is smaller than the sum of its proper divisors (325493684).

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

258012820 is a wasteful number, since it uses less digits than its factorization.

258012820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992379 (or 992377 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 258012820 is about 16062.7774684206. Note that the first 3 decimals coincide. The cubic root of 258012820 is about 636.6202202289.

It can be divided in two parts, 2580 and 12820, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 258012820 in words is "two hundred fifty-eight million, twelve thousand, eight hundred twenty".