476349984 has 144 divisors (see below), whose sum is σ = 1532774880. Its totient is φ = 144322560.

The previous prime is 476349961. The next prime is 476349997. The reversal of 476349984 is 489943674.

It is a happy number.

476349984 is a `hidden beast` number, since 4 + 76 + 3 + 499 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 476349984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82752 + ... + 88320.

It is an arithmetic number, because the mean of its divisors is an integer number (10644270).

Almost surely, 2^476349984 is an apocalyptic number.

476349984 is a gapful number since it is divisible by the number (44) 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 476349984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766387440).

476349984 is an abundant number, since it is smaller than the sum of its proper divisors (1056424896).

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

476349984 is a wasteful number, since it uses less digits than its factorization.

476349984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605 (or 5585 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 476349984 is about 21825.4435006485. The cubic root of 476349984 is about 780.9838472671.

The spelling of 476349984 in words is "four hundred seventy-six million, three hundred forty-nine thousand, nine hundred eighty-four".