414064616 has 64 divisors (see below), whose sum is σ = 905748480. Its totient is φ = 173799360.

The previous prime is 414064603. The next prime is 414064619. The reversal of 414064616 is 616460414.

It is not an unprimeable number, because it can be changed into a prime (414064619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886415 + ... + 886881.

It is an arithmetic number, because the mean of its divisors is an integer number (14152320).

Almost surely, 2^414064616 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 414064616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

414064616 is an abundant number, since it is smaller than the sum of its proper divisors (491683864).

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

414064616 is a wasteful number, since it uses less digits than its factorization.

414064616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 414064616 is about 20348.5777389969. The cubic root of 414064616 is about 745.3427643652.

The spelling of 414064616 in words is "four hundred fourteen million, sixty-four thousand, six hundred sixteen".