252999936 has 324 divisors, whose sum is σ = 890587152. Its totient is φ = 71414784.

The previous prime is 252999893. The next prime is 253000037. The reversal of 252999936 is 639999252.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3048151 + ... + 3048233.

Almost surely, 2^252999936 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 252999936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445293576).

252999936 is an abundant number, since it is smaller than the sum of its proper divisors (637587216).

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

252999936 is an frugal number, since it uses more digits than its factorization.

252999936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its digits is 2361960, while the sum is 54.

The square root of 252999936 is about 15905.9717087640. The cubic root of 252999936 is about 632.4703010109.

The spelling of 252999936 in words is "two hundred fifty-two million, nine hundred ninety-nine thousand, nine hundred thirty-six".