252379008 has 288 divisors, whose sum is σ = 897914160. Its totient is φ = 67608576.

The previous prime is 252378989. The next prime is 252379019. The reversal of 252379008 is 800973252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 959485 + ... + 959747.

Almost surely, 2^252379008 is an apocalyptic number.

252379008 is a gapful number since it is divisible by the number (28) 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 252379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448957080).

252379008 is an abundant number, since it is smaller than the sum of its proper divisors (645535152).

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

252379008 is a wasteful number, since it uses less digits than its factorization.

252379008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 252379008 is about 15886.4410111264. The cubic root of 252379008 is about 631.9524613070.

The spelling of 252379008 in words is "two hundred fifty-two million, three hundred seventy-nine thousand, eight".