479344320 has 672 divisors, whose sum is σ = 2130186240. Its totient is φ = 96215040.

The previous prime is 479344303. The next prime is 479344337. The reversal of 479344320 is 23443974.

It is an interprime number because it is at equal distance from previous prime (479344303) and next prime (479344337).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8124451 + ... + 8124509.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2^479344320 is an apocalyptic number.

479344320 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 479344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065093120).

479344320 is an abundant number, since it is smaller than the sum of its proper divisors (1650841920).

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

479344320 is a wasteful number, since it uses less digits than its factorization.

479344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 479344320 is about 21893.9334063114. The cubic root of 479344320 is about 782.6168518313.

The spelling of 479344320 in words is "four hundred seventy-nine million, three hundred forty-four thousand, three hundred twenty".