479816064 has 384 divisors, whose sum is σ = 1782144000. Its totient is φ = 120434688.

The previous prime is 479816039. The next prime is 479816089. The reversal of 479816064 is 460618974.

It is an interprime number because it is at equal distance from previous prime (479816039) and next prime (479816089).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2411037 + ... + 2411235.

It is an arithmetic number, because the mean of its divisors is an integer number (4641000).

Almost surely, 2^479816064 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 479816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891072000).

479816064 is an abundant number, since it is smaller than the sum of its proper divisors (1302327936).

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

479816064 is a wasteful number, since it uses less digits than its factorization.

479816064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 479816064 is about 21904.7041523048. The cubic root of 479816064 is about 782.8735036375.

It can be divided in two parts, 47981 and 6064, that added together give a palindrome (54045).

The spelling of 479816064 in words is "four hundred seventy-nine million, eight hundred sixteen thousand, sixty-four".