252329424 has 80 divisors (see below), whose sum is σ = 689033280. Its totient is φ = 79349760.

The previous prime is 252329423. The next prime is 252329431. The reversal of 252329424 is 424923252.

252329424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252329423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306934 + ... + 307754.

It is an arithmetic number, because the mean of its divisors is an integer number (8612916).

Almost surely, 2^252329424 is an apocalyptic number.

252329424 is a gapful number since it is divisible by the number (24) 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 252329424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344516640).

252329424 is an abundant number, since it is smaller than the sum of its proper divisors (436703856).

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

252329424 is a wasteful number, since it uses less digits than its factorization.

252329424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 252329424 is about 15884.8803583785. The cubic root of 252329424 is about 631.9110727840.

The spelling of 252329424 in words is "two hundred fifty-two million, three hundred twenty-nine thousand, four hundred twenty-four".