473988900 has 432 divisors, whose sum is σ = 1841882112. Its totient is φ = 91392000.

The previous prime is 473988811. The next prime is 473988943. The reversal of 473988900 is 9889374.

It is a self number, because there is not a number n which added to its sum of digits gives 473988900.

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 143 ways as a sum of consecutive naturals, for example, 6675865 + ... + 6675935.

It is an arithmetic number, because the mean of its divisors is an integer number (4263616).

Almost surely, 2^473988900 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 473988900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920941056).

473988900 is an abundant number, since it is smaller than the sum of its proper divisors (1367893212).

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

473988900 is a wasteful number, since it uses less digits than its factorization.

473988900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 473988900 is about 21771.2861356421. The cubic root of 473988900 is about 779.6913637572.

It can be divided in two parts, 4739 and 88900, that added together give a palindrome (93639).

The spelling of 473988900 in words is "four hundred seventy-three million, nine hundred eighty-eight thousand, nine hundred".