900471825 has 72 divisors (see below), whose sum is σ = 1797134976. Its totient is φ = 427248000.

The previous prime is 900471823. The next prime is 900471833. The reversal of 900471825 is 528174009.

It is not a de Polignac number, because 900471825 - 2¹ = 900471823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 900471825.

It is not an unprimeable number, because it can be changed into a prime (900471823) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 112455 + ... + 120195.

It is an arithmetic number, because the mean of its divisors is an integer number (24960208).

Almost surely, 2^900471825 is an apocalyptic number.

It is an amenable number.

900471825 is a deficient number, since it is larger than the sum of its proper divisors (896663151).

900471825 is a wasteful number, since it uses less digits than its factorization.

900471825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7815 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 900471825 is about 30007.8627196273. The cubic root of 900471825 is about 965.6580744005.

The spelling of 900471825 in words is "nine hundred million, four hundred seventy-one thousand, eight hundred twenty-five".