252959616 has 384 divisors, whose sum is σ = 950476800. Its totient is φ = 62705664.

The previous prime is 252959599. The next prime is 252959621. The reversal of 252959616 is 616959252.

It is a happy number.

252959616 is a `hidden beast` number, since 2 + 5 + 29 + 5 + 9 + 616 = 666.

252959616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1991745 + ... + 1991871.

It is an arithmetic number, because the mean of its divisors is an integer number (2475200).

Almost surely, 2^252959616 is an apocalyptic number.

252959616 is a gapful number since it is divisible by the number (26) 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 252959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475238400).

252959616 is an abundant number, since it is smaller than the sum of its proper divisors (697517184).

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

252959616 is a wasteful number, since it uses less digits than its factorization.

252959616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 252959616 is about 15904.7042097613. The cubic root of 252959616 is about 632.4367007951.

The spelling of 252959616 in words is "two hundred fifty-two million, nine hundred fifty-nine thousand, six hundred sixteen".