252028820 has 48 divisors (see below), whose sum is σ = 540413328. Its totient is φ = 98703360.

The previous prime is 252028817. The next prime is 252028873. The reversal of 252028820 is 28820252.

252028820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 143952004 + 108076816 = 11998^2 + 10396^2 .

It is a super-2 number, since 2×252028820² = 127037052221184800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410834 + ... + 411446.

It is an arithmetic number, because the mean of its divisors is an integer number (11258611).

Almost surely, 2^252028820 is an apocalyptic number.

252028820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252028820 is an abundant number, since it is smaller than the sum of its proper divisors (288384508).

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

252028820 is a wasteful number, since it uses less digits than its factorization.

252028820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 252028820 is about 15875.4155851115. The cubic root of 252028820 is about 631.6600378800.

The spelling of 252028820 in words is "two hundred fifty-two million, twenty-eight thousand, eight hundred twenty".