475446720 has 224 divisors, whose sum is σ = 1741017600. Its totient is φ = 107679744.

The previous prime is 475446691. The next prime is 475446767. The reversal of 475446720 is 27644574.

It is a tau number, because it is divible by the number of its divisors (224).

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, 933826 + ... + 934334.

It is an arithmetic number, because the mean of its divisors is an integer number (7772400).

Almost surely, 2^475446720 is an apocalyptic number.

475446720 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 475446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870508800).

475446720 is an abundant number, since it is smaller than the sum of its proper divisors (1265570880).

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

475446720 is a wasteful number, since it uses less digits than its factorization.

475446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The square root of 475446720 is about 21804.7407689245. The cubic root of 475446720 is about 780.4898960589.

The spelling of 475446720 in words is "four hundred seventy-five million, four hundred forty-six thousand, seven hundred twenty".