252826920 has 288 divisors, whose sum is σ = 921866400. Its totient is φ = 62145792.

The previous prime is 252826909. The next prime is 252826921. The reversal of 252826920 is 29628252.

252826920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252826921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6833142 + ... + 6833178.

It is an arithmetic number, because the mean of its divisors is an integer number (3200925).

Almost surely, 2^252826920 is an apocalyptic number.

252826920 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 252826920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460933200).

252826920 is an abundant number, since it is smaller than the sum of its proper divisors (669039480).

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

252826920 is a wasteful number, since it uses less digits than its factorization.

252826920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 252826920 is about 15900.5320665693. The cubic root of 252826920 is about 632.3260948672.

The spelling of 252826920 in words is "two hundred fifty-two million, eight hundred twenty-six thousand, nine hundred twenty".