252762048 has 336 divisors, whose sum is σ = 931956480. Its totient is φ = 63590400.

The previous prime is 252762031. The next prime is 252762053. The reversal of 252762048 is 840267252.

252762048 is a `hidden beast` number, since 2 + 5 + 27 + 620 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1818363 + ... + 1818501.

It is an arithmetic number, because the mean of its divisors is an integer number (2773680).

Almost surely, 2^252762048 is an apocalyptic number.

252762048 is a gapful number since it is divisible by the number (28) 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 252762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465978240).

252762048 is an abundant number, since it is smaller than the sum of its proper divisors (679194432).

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

252762048 is a wasteful number, since it uses less digits than its factorization.

252762048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 252762048 is about 15898.4920039606. The cubic root of 252762048 is about 632.2720081065.

The spelling of 252762048 in words is "two hundred fifty-two million, seven hundred sixty-two thousand, forty-eight".