479316420 has 384 divisors, whose sum is σ = 1780531200. Its totient is φ = 105753600.

The previous prime is 479316419. The next prime is 479316427. The reversal of 479316420 is 24613974.

479316420 is a `hidden beast` number, since 4 + 7 + 9 + 3 + 1 + 642 + 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 (479316427) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3498592 + ... + 3498728.

It is an arithmetic number, because the mean of its divisors is an integer number (4636800).

Almost surely, 2^479316420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479316420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890265600).

479316420 is an abundant number, since it is smaller than the sum of its proper divisors (1301214780).

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

479316420 is a wasteful number, since it uses less digits than its factorization.

479316420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

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

The square root of 479316420 is about 21893.2962342357. The cubic root of 479316420 is about 782.6016675939.

The spelling of 479316420 in words is "four hundred seventy-nine million, three hundred sixteen thousand, four hundred twenty".