339480960 has 512 divisors, whose sum is σ = 1398297600. Its totient is φ = 68124672.

The previous prime is 339480949. The next prime is 339480971. The reversal of 339480960 is 69084933.

It is an interprime number because it is at equal distance from previous prime (339480949) and next prime (339480971).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5066847 + ... + 5066913.

It is an arithmetic number, because the mean of its divisors is an integer number (2731050).

Almost surely, 2^339480960 is an apocalyptic number.

339480960 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 339480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699148800).

339480960 is an abundant number, since it is smaller than the sum of its proper divisors (1058816640).

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

339480960 is a wasteful number, since it uses less digits than its factorization.

339480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 339480960 is about 18425.0090909068. The cubic root of 339480960 is about 697.5978614249.

The spelling of 339480960 in words is "three hundred thirty-nine million, four hundred eighty thousand, nine hundred sixty".