334285440 has 128 divisors (see below), whose sum is σ = 1090584000. Its totient is φ = 87048192.

The previous prime is 334285339. The next prime is 334285447. The reversal of 334285440 is 44582433.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×334285440² = 223493510791987200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334285447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80536 + ... + 84584.

Almost surely, 2^334285440 is an apocalyptic number.

334285440 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 334285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545292000).

334285440 is an abundant number, since it is smaller than the sum of its proper divisors (756298560).

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

334285440 is a wasteful number, since it uses less digits than its factorization.

334285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 334285440 is about 18283.4745056841. The cubic root of 334285440 is about 694.0208007009.

The spelling of 334285440 in words is "three hundred thirty-four million, two hundred eighty-five thousand, four hundred forty".