473476752 has 160 divisors (see below), whose sum is σ = 1573192960. Its totient is φ = 135209088.

The previous prime is 473476747. The next prime is 473476793. The reversal of 473476752 is 257674374.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 473476698 and 473476707.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 243978 + ... + 245910.

It is an arithmetic number, because the mean of its divisors is an integer number (9832456).

Almost surely, 2^473476752 is an apocalyptic number.

473476752 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 473476752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786596480).

473476752 is an abundant number, since it is smaller than the sum of its proper divisors (1099716208).

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

473476752 is an equidigital number, since it uses as much as digits as its factorization.

473476752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1945 counting only the distinct ones).

The product of its digits is 987840, while the sum is 45.

The square root of 473476752 is about 21759.5209506092. The cubic root of 473476752 is about 779.4104420727.

The spelling of 473476752 in words is "four hundred seventy-three million, four hundred seventy-six thousand, seven hundred fifty-two".