472785000 has 160 divisors (see below), whose sum is σ = 1513390560. Its totient is φ = 122976000.

The previous prime is 472784989. The next prime is 472785007. The reversal of 472785000 is 587274.

It is not an unprimeable number, because it can be changed into a prime (472785007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 644634 + ... + 645366.

It is an arithmetic number, because the mean of its divisors is an integer number (9458691).

Almost surely, 2^472785000 is an apocalyptic number.

472785000 is a gapful number since it is divisible by the number (40) 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 472785000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756695280).

472785000 is an abundant number, since it is smaller than the sum of its proper divisors (1040605560).

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

472785000 is a wasteful number, since it uses less digits than its factorization.

472785000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 472785000 is about 21743.6197538496. The cubic root of 472785000 is about 779.0306828312.

The spelling of 472785000 in words is "four hundred seventy-two million, seven hundred eighty-five thousand".