252042840 has 160 divisors (see below), whose sum is σ = 968251680. Its totient is φ = 57604608.

The previous prime is 252042839. The next prime is 252042859. The reversal of 252042840 is 48240252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17124 + ... + 28236.

It is an arithmetic number, because the mean of its divisors is an integer number (6051573).

Almost surely, 2^252042840 is an apocalyptic number.

252042840 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 252042840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484125840).

252042840 is an abundant number, since it is smaller than the sum of its proper divisors (716208840).

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

252042840 is a wasteful number, since it uses less digits than its factorization.

252042840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11143 (or 11130 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 252042840 is about 15875.8571422144. The cubic root of 252042840 is about 631.6717504420.

The spelling of 252042840 in words is "two hundred fifty-two million, forty-two thousand, eight hundred forty".