334990440 has 192 divisors, whose sum is σ = 1164533760. Its totient is φ = 83220480.

The previous prime is 334990379. The next prime is 334990451. The reversal of 334990440 is 44099433.

It is a super-2 number, since 2×334990440² = 224437189782787200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334990395 and 334990404.

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, 777025 + ... + 777455.

It is an arithmetic number, because the mean of its divisors is an integer number (6065280).

Almost surely, 2^334990440 is an apocalyptic number.

334990440 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 334990440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582266880).

334990440 is an abundant number, since it is smaller than the sum of its proper divisors (829543320).

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

334990440 is a wasteful number, since it uses less digits than its factorization.

334990440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 334990440 is about 18302.7440565616. The cubic root of 334990440 is about 694.5083492101.

The spelling of 334990440 in words is "three hundred thirty-four million, nine hundred ninety thousand, four hundred forty".