252114452460 has 288 divisors, whose sum is σ = 832254014592. Its totient is φ = 61408419840.

The previous prime is 252114452449. The next prime is 252114452479. The reversal of 252114452460 is 64254411252.

252114452460 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 144 + 52 + 460 = 666.

252114452460 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94176642 + ... + 94179318.

It is an arithmetic number, because the mean of its divisors is an integer number (2889770884).

Almost surely, 2^252114452460 is an apocalyptic number.

252114452460 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 252114452460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416127007296).

252114452460 is an abundant number, since it is smaller than the sum of its proper divisors (580139562132).

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

252114452460 is a wasteful number, since it uses less digits than its factorization.

252114452460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 252114452460 in words is "two hundred fifty-two billion, one hundred fourteen million, four hundred fifty-two thousand, four hundred sixty".