252785904 has 120 divisors (see below), whose sum is σ = 784378368. Its totient is φ = 69874560.

The previous prime is 252785839. The next prime is 252785927. The reversal of 252785904 is 409587252.

It is a super-3 number, since 3×252785904³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71179 + ... + 74645.

Almost surely, 2^252785904 is an apocalyptic number.

252785904 is a gapful number since it is divisible by the number (24) 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 252785904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392189184).

252785904 is an abundant number, since it is smaller than the sum of its proper divisors (531592464).

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

252785904 is a wasteful number, since it uses less digits than its factorization.

252785904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 252785904 is about 15899.2422460946. The cubic root of 252785904 is about 632.2918990232.

The spelling of 252785904 in words is "two hundred fifty-two million, seven hundred eighty-five thousand, nine hundred four".