473636352 has 320 divisors, whose sum is σ = 1571328000. Its totient is φ = 126443520.

The previous prime is 473636311. The next prime is 473636413. The reversal of 473636352 is 253636374.

It is a happy number.

It is a super-3 number, since 3×473636352³ (a number of 27 digits) contains 333 as substring.

Its product of digits (272160) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 473636352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15278577 + ... + 15278607.

It is an arithmetic number, because the mean of its divisors is an integer number (4910400).

Almost surely, 2^473636352 is an apocalyptic number.

473636352 is a gapful number since it is divisible by the number (42) 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 473636352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785664000).

473636352 is an abundant number, since it is smaller than the sum of its proper divisors (1097691648).

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

473636352 is an equidigital number, since it uses as much as digits as its factorization.

473636352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its digits is 272160, while the sum is 39.

The square root of 473636352 is about 21763.1880017611. The cubic root of 473636352 is about 779.4980070423.

The spelling of 473636352 in words is "four hundred seventy-three million, six hundred thirty-six thousand, three hundred fifty-two".