905252900 has 72 divisors (see below), whose sum is σ = 2027120256. Its totient is φ = 350704000.

The previous prime is 905252869. The next prime is 905252939. The reversal of 905252900 is 9252509.

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, 473747 + ... + 475653.

It is an arithmetic number, because the mean of its divisors is an integer number (28154448).

Almost surely, 2^905252900 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 905252900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013560128).

905252900 is an abundant number, since it is smaller than the sum of its proper divisors (1121867356).

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

905252900 is a wasteful number, since it uses less digits than its factorization.

905252900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 905252900 is about 30087.4209595971. The cubic root of 905252900 is about 967.3641194683.

The spelling of 905252900 in words is "nine hundred five million, two hundred fifty-two thousand, nine hundred".