252416376 has 96 divisors (see below), whose sum is σ = 698880000. Its totient is φ = 82285632.

The previous prime is 252416347. The next prime is 252416383. The reversal of 252416376 is 673614252.

252416376 is a `hidden beast` number, since 2 + 524 + 1 + 63 + 76 = 666.

252416376 is digitally balanced in base 2, because in such base 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 self number, because there is not a number n which added to its sum of digits gives 252416376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1131801 + ... + 1132023.

It is an arithmetic number, because the mean of its divisors is an integer number (7280000).

Almost surely, 2^252416376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252416376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349440000).

252416376 is an abundant number, since it is smaller than the sum of its proper divisors (446463624).

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

252416376 is a wasteful number, since it uses less digits than its factorization.

252416376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 252416376 is about 15887.6170648716. The cubic root of 252416376 is about 631.9836493660.

The spelling of 252416376 in words is "two hundred fifty-two million, four hundred sixteen thousand, three hundred seventy-six".