334728960 has 144 divisors (see below), whose sum is σ = 1087326240. Its totient is φ = 87736320.

The previous prime is 334728943. The next prime is 334728967. The reversal of 334728960 is 69827433.

It is a super-2 number, since 2×334728960² = 224086953325363200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334728967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233526 + ... + 234954.

Almost surely, 2^334728960 is an apocalyptic number.

334728960 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 334728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543663120).

334728960 is an abundant number, since it is smaller than the sum of its proper divisors (752597280).

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

334728960 is a wasteful number, since it uses less digits than its factorization.

334728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 334728960 is about 18295.5994709110. The cubic root of 334728960 is about 694.3276004564.

The spelling of 334728960 in words is "three hundred thirty-four million, seven hundred twenty-eight thousand, nine hundred sixty".