252684432 has 240 divisors, whose sum is σ = 950022528. Its totient is φ = 60549120.

The previous prime is 252684431. The next prime is 252684437. The reversal of 252684432 is 234486252.

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

It is not an unprimeable number, because it can be changed into a prime (252684431) by changing a digit.

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, 143268 + ... + 145020.

Almost surely, 2^252684432 is an apocalyptic number.

252684432 is a gapful number since it is divisible by the number (22) 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 252684432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475011264).

252684432 is an abundant number, since it is smaller than the sum of its proper divisors (697338096).

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

252684432 is a wasteful number, since it uses less digits than its factorization.

252684432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1789 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 252684432 is about 15896.0508303163. The cubic root of 252684432 is about 632.2072839275.

It can be divided in two parts, 252684 and 432, that added together give a triangular number (253116 = T₇₁₁).

The spelling of 252684432 in words is "two hundred fifty-two million, six hundred eighty-four thousand, four hundred thirty-two".