334580400 has 720 divisors, whose sum is σ = 1554329088. Its totient is φ = 64512000.

The previous prime is 334580371. The next prime is 334580423. The reversal of 334580400 is 4085433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×334580400² = 223888088128320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4712365 + ... + 4712435.

Almost surely, 2^334580400 is an apocalyptic number.

334580400 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 334580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777164544).

334580400 is an abundant number, since it is smaller than the sum of its proper divisors (1219748688).

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

334580400 is a wasteful number, since it uses less digits than its factorization.

334580400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 334580400 is about 18291.5390276488. The cubic root of 334580400 is about 694.2248660211.

The spelling of 334580400 in words is "three hundred thirty-four million, five hundred eighty thousand, four hundred".