473559120 has 90 divisors (see below), whose sum is σ = 1592332794. Its totient is φ = 126126720.

The previous prime is 473559113. The next prime is 473559127. The reversal of 473559120 is 21955374.

473559120 is a `hidden beast` number, since 47 + 3 + 5 + 591 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (473559113) and next prime (473559127).

It can be written as a sum of positive squares in only one way, i.e., 378847296 + 94711824 = 19464^2 + 9732^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473559127) 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 17 ways as a sum of consecutive naturals, for example, 583515 + ... + 584325.

Almost surely, 2^473559120 is an apocalyptic number.

473559120 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 473559120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796166397).

473559120 is an abundant number, since it is smaller than the sum of its proper divisors (1118773674).

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

473559120 is an equidigital number, since it uses as much as digits as its factorization.

473559120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 473559120 is about 21761.4135570280. The cubic root of 473559120 is about 779.4556359544.

The spelling of 473559120 in words is "four hundred seventy-three million, five hundred fifty-nine thousand, one hundred twenty".