320352480 has 288 divisors, whose sum is σ = 1272293568. Its totient is φ = 71884800.

The previous prime is 320352469. The next prime is 320352499. The reversal of 320352480 is 84253023.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×320352480² = 205251422884300800, which contains 22 as substring.

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, 614620 + ... + 615140.

It is an arithmetic number, because the mean of its divisors is an integer number (4417686).

Almost surely, 2^320352480 is an apocalyptic number.

320352480 is a gapful number since it is divisible by the number (30) 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 320352480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636146784).

320352480 is an abundant number, since it is smaller than the sum of its proper divisors (951941088).

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

320352480 is a wasteful number, since it uses less digits than its factorization.

320352480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 320352480 is about 17898.3932239740. The cubic root of 320352480 is about 684.2414249848.

The spelling of 320352480 in words is "three hundred twenty million, three hundred fifty-two thousand, four hundred eighty".