334563408 has 120 divisors (see below), whose sum is σ = 974937600. Its totient is φ = 106986240.

The previous prime is 334563407. The next prime is 334563461. The reversal of 334563408 is 804365433.

It is a super-2 number, since 2×334563408² = 223865347945148928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334563407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664885 + ... + 665387.

It is an arithmetic number, because the mean of its divisors is an integer number (8124480).

Almost surely, 2^334563408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334563408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

334563408 is an abundant number, since it is smaller than the sum of its proper divisors (640374192).

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

334563408 is a wasteful number, since it uses less digits than its factorization.

334563408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 334563408 is about 18291.0745447062. The cubic root of 334563408 is about 694.2131135210.

It can be divided in two parts, 334563 and 408, that added together give a triangular number (334971 = T₈₁₈).

The spelling of 334563408 in words is "three hundred thirty-four million, five hundred sixty-three thousand, four hundred eight".