252288540 has 192 divisors, whose sum is σ = 926392320. Its totient is φ = 55779840.

The previous prime is 252288503. The next prime is 252288563. The reversal of 252288540 is 45882252.

252288540 is a `hidden beast` number, since 2 + 522 + 88 + 54 + 0 = 666.

252288540 is digitally balanced in base 2 and base 3, because in such bases 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 a junction number, because it is equal to n+sod(n) for n = 252288495 and 252288504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116104 + ... + 118256.

It is an arithmetic number, because the mean of its divisors is an integer number (4824960).

Almost surely, 2^252288540 is an apocalyptic number.

252288540 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 252288540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463196160).

252288540 is an abundant number, since it is smaller than the sum of its proper divisors (674103780).

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

252288540 is a wasteful number, since it uses less digits than its factorization.

252288540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 252288540 is about 15883.5934221448. The cubic root of 252288540 is about 631.8769422054.

The spelling of 252288540 in words is "two hundred fifty-two million, two hundred eighty-eight thousand, five hundred forty".