414079344 has 160 divisors (see below), whose sum is σ = 1368960000. Its totient is φ = 117386496.

The previous prime is 414079343. The next prime is 414079361. The reversal of 414079344 is 443970414.

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 = 414079299 and 414079308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414079343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450117 + ... + 451035.

It is an arithmetic number, because the mean of its divisors is an integer number (8556000).

Almost surely, 2^414079344 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 414079344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684480000).

414079344 is an abundant number, since it is smaller than the sum of its proper divisors (954880656).

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

414079344 is a wasteful number, since it uses less digits than its factorization.

414079344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 414079344 is about 20348.9396283934. The cubic root of 414079344 is about 745.3516013741.

The spelling of 414079344 in words is "four hundred fourteen million, seventy-nine thousand, three hundred forty-four".