252385740 has 192 divisors, whose sum is σ = 875750400. Its totient is φ = 59968512.

The previous prime is 252385733. The next prime is 252385789. The reversal of 252385740 is 47583252.

252385740 is a `hidden beast` number, since 2 + 52 + 38 + 574 + 0 = 666.

252385740 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 252385695 and 252385704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173697 + ... + 175143.

It is an arithmetic number, because the mean of its divisors is an integer number (4561200).

Almost surely, 2^252385740 is an apocalyptic number.

252385740 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 252385740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437875200).

252385740 is an abundant number, since it is smaller than the sum of its proper divisors (623364660).

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

252385740 is a wasteful number, since it uses less digits than its factorization.

252385740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 252385740 is about 15886.6528885099. The cubic root of 252385740 is about 631.9580801924.

The spelling of 252385740 in words is "two hundred fifty-two million, three hundred eighty-five thousand, seven hundred forty".