252418989420 has 480 divisors, whose sum is σ = 870766142400. Its totient is φ = 60831959040.

The previous prime is 252418989379. The next prime is 252418989421. The reversal of 252418989420 is 24989814252.

252418989420 is a `hidden beast` number, since 2 + 52 + 418 + 98 + 94 + 2 + 0 = 666.

252418989420 is digitally balanced in base 2, 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 (54).

It is not an unprimeable number, because it can be changed into a prime (252418989421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 448346059 + ... + 448346621.

It is an arithmetic number, because the mean of its divisors is an integer number (1814096130).

Almost surely, 2^252418989420 is an apocalyptic number.

252418989420 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 252418989420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435383071200).

252418989420 is an abundant number, since it is smaller than the sum of its proper divisors (618347152980).

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

252418989420 is a wasteful number, since it uses less digits than its factorization.

252418989420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 252418989420 in words is "two hundred fifty-two billion, four hundred eighteen million, nine hundred eighty-nine thousand, four hundred twenty".