334992960 has 168 divisors, whose sum is σ = 1180755576. Its totient is φ = 87121920.

The previous prime is 334992947. The next prime is 334992979. The reversal of 334992960 is 69299433.

It can be written as a sum of positive squares in 4 ways, for example, as 22127616 + 312865344 = 4704^2 + 17688^2 .

It is a super-2 number, since 2×334992960² = 224440566499123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116662 + ... + 119498.

It is an arithmetic number, because the mean of its divisors is an integer number (7028307).

Almost surely, 2^334992960 is an apocalyptic number.

334992960 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 334992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590377788).

334992960 is an abundant number, since it is smaller than the sum of its proper divisors (845762616).

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

334992960 is a wasteful number, since it uses less digits than its factorization.

334992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 334992960 is about 18302.8128985684. The cubic root of 334992960 is about 694.5100907092.

The spelling of 334992960 in words is "three hundred thirty-four million, nine hundred ninety-two thousand, nine hundred sixty".