414407604 has 72 divisors (see below), whose sum is σ = 1055953920. Its totient is φ = 126427392.

The previous prime is 414407603. The next prime is 414407621. The reversal of 414407604 is 406704414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414407603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256752 + ... + 258360.

Almost surely, 2^414407604 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 414407604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527976960).

414407604 is an abundant number, since it is smaller than the sum of its proper divisors (641546316).

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

414407604 is a wasteful number, since it uses less digits than its factorization.

414407604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 414407604 is about 20357.0038070439. The cubic root of 414407604 is about 745.5485076717.

The spelling of 414407604 in words is "four hundred fourteen million, four hundred seven thousand, six hundred four".