414093312 has 156 divisors (see below), whose sum is σ = 1226684160. Its totient is φ = 134529024.

The previous prime is 414093301. The next prime is 414093341. The reversal of 414093312 is 213390414.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1732489 + ... + 1732727.

It is an arithmetic number, because the mean of its divisors is an integer number (7863360).

Almost surely, 2^414093312 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 414093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613342080).

414093312 is an abundant number, since it is smaller than the sum of its proper divisors (812590848).

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

414093312 is a wasteful number, since it uses less digits than its factorization.

414093312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 414093312 is about 20349.2828374859. The cubic root of 414093312 is about 745.3599821786.

The spelling of 414093312 in words is "four hundred fourteen million, ninety-three thousand, three hundred twelve".