300825252 has 288 divisors, whose sum is σ = 1027353600. Its totient is φ = 74742912.

The previous prime is 300825223. The next prime is 300825253. The reversal of 300825252 is 252528003.

300825252 = 244² + 245² + ... + 971².

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (300825253) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1680499 + ... + 1680677.

It is an arithmetic number, because the mean of its divisors is an integer number (3567200).

Almost surely, 2^300825252 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 300825252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513676800).

300825252 is an abundant number, since it is smaller than the sum of its proper divisors (726528348).

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

300825252 is a wasteful number, since it uses less digits than its factorization.

300825252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 300825252 is about 17344.3146881046. The cubic root of 300825252 is about 670.0462223996.

The spelling of 300825252 in words is "three hundred million, eight hundred twenty-five thousand, two hundred fifty-two".