473615680 has 56 divisors (see below), whose sum is σ = 1131661440. Its totient is φ = 188797440.

The previous prime is 473615677. The next prime is 473615687. The reversal of 473615680 is 86516374.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473615687) 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 7 ways as a sum of consecutive naturals, for example, 97141 + ... + 101899.

It is an arithmetic number, because the mean of its divisors is an integer number (20208240).

Almost surely, 2^473615680 is an apocalyptic number.

473615680 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 473615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565830720).

473615680 is an abundant number, since it is smaller than the sum of its proper divisors (658045760).

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

473615680 is a wasteful number, since it uses less digits than its factorization.

473615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 473615680 is about 21762.7130661597. The cubic root of 473615680 is about 779.4866664029.

The spelling of 473615680 in words is "four hundred seventy-three million, six hundred fifteen thousand, six hundred eighty".