252354528 has 288 divisors, whose sum is σ = 832156416. Its totient is φ = 74815488.

The previous prime is 252354527. The next prime is 252354547. The reversal of 252354528 is 825453252.

It is a happy number.

252354528 is a `hidden beast` number, since 252 + 354 + 52 + 8 = 666.

252354528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (96000) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 252354492 and 252354501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252354527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3040375 + ... + 3040457.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^252354528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252354528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

252354528 is an abundant number, since it is smaller than the sum of its proper divisors (579801888).

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

252354528 is a wasteful number, since it uses less digits than its factorization.

252354528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 252354528 is about 15885.6705240918. The cubic root of 252354528 is about 631.9320281543.

The spelling of 252354528 in words is "two hundred fifty-two million, three hundred fifty-four thousand, five hundred twenty-eight".