334409040 has 320 divisors, whose sum is σ = 1394910720. Its totient is φ = 71884800.

The previous prime is 334409027. The next prime is 334409087. The reversal of 334409040 is 40904433.

It is a super-2 number, since 2×334409040² = 223658812067443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 334408995 and 334409013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256390 + ... + 257690.

It is an arithmetic number, because the mean of its divisors is an integer number (4359096).

Almost surely, 2^334409040 is an apocalyptic number.

334409040 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 334409040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697455360).

334409040 is an abundant number, since it is smaller than the sum of its proper divisors (1060501680).

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

334409040 is a wasteful number, since it uses less digits than its factorization.

334409040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 334409040 is about 18286.8542948206. The cubic root of 334409040 is about 694.1063268118.

The spelling of 334409040 in words is "three hundred thirty-four million, four hundred nine thousand, forty".