476349120 has 224 divisors, whose sum is σ = 1810146240. Its totient is φ = 117227520.

The previous prime is 476349109. The next prime is 476349121. The reversal of 476349120 is 21943674.

476349120 is a `hidden beast` number, since 4 + 7 + 634 + 9 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (476349121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110200 + ... + 114440.

It is an arithmetic number, because the mean of its divisors is an integer number (8081010).

Almost surely, 2^476349120 is an apocalyptic number.

476349120 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 476349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905073120).

476349120 is an abundant number, since it is smaller than the sum of its proper divisors (1333797120).

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

476349120 is a wasteful number, since it uses less digits than its factorization.

476349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 476349120 is about 21825.4237072273. The cubic root of 476349120 is about 780.9833750860.

The spelling of 476349120 in words is "four hundred seventy-six million, three hundred forty-nine thousand, one hundred twenty".