252054180 has 288 divisors, whose sum is σ = 939294720. Its totient is φ = 55520640.

The previous prime is 252054163. The next prime is 252054193. The reversal of 252054180 is 81450252.

252054180 = T₄₄₀ + T₄₄₁ + ... + T₁₁₆₈.

It is a happy number.

252054180 is a `hidden beast` number, since 25 + 20 + 541 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1054501 + ... + 1054739.

It is an arithmetic number, because the mean of its divisors is an integer number (3261440).

Almost surely, 2^252054180 is an apocalyptic number.

252054180 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 252054180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469647360).

252054180 is an abundant number, since it is smaller than the sum of its proper divisors (687240540).

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

252054180 is a wasteful number, since it uses less digits than its factorization.

252054180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 252054180 is about 15876.2142842681. The cubic root of 252054180 is about 631.6812237657.

The spelling of 252054180 in words is "two hundred fifty-two million, fifty-four thousand, one hundred eighty".