476433360 has 480 divisors, whose sum is σ = 1904878080. Its totient is φ = 108739584.

The previous prime is 476433343. The next prime is 476433361. The reversal of 476433360 is 63334674.

476433360 is a `hidden beast` number, since 4 + 7 + 643 + 3 + 3 + 6 + 0 = 666.

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 (476433361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10136857 + ... + 10136903.

It is an arithmetic number, because the mean of its divisors is an integer number (3968496).

Almost surely, 2^476433360 is an apocalyptic number.

476433360 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 476433360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952439040).

476433360 is an abundant number, since it is smaller than the sum of its proper divisors (1428444720).

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

476433360 is a wasteful number, since it uses less digits than its factorization.

476433360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 476433360 is about 21827.3534813545. The cubic root of 476433360 is about 781.0294100625.

The spelling of 476433360 in words is "four hundred seventy-six million, four hundred thirty-three thousand, three hundred sixty".