252531840 has 192 divisors, whose sum is σ = 885588480. Its totient is φ = 61163520.

The previous prime is 252531827. The next prime is 252531847. The reversal of 252531840 is 48135252.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252531798 and 252531807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252531847) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 231777 + ... + 232863.

It is an arithmetic number, because the mean of its divisors is an integer number (4612440).

Almost surely, 2^252531840 is an apocalyptic number.

252531840 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 252531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442794240).

252531840 is an abundant number, since it is smaller than the sum of its proper divisors (633056640).

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

252531840 is a wasteful number, since it uses less digits than its factorization.

252531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 252531840 is about 15891.2504227956. The cubic root of 252531840 is about 632.0799984190.

The spelling of 252531840 in words is "two hundred fifty-two million, five hundred thirty-one thousand, eight hundred forty".