414914430 has 64 divisors (see below), whose sum is σ = 1141890048. Its totient is φ = 94517760.

The previous prime is 414914429. The next prime is 414914441. The reversal of 414914430 is 34419414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62134 + ... + 68486.

It is an arithmetic number, because the mean of its divisors is an integer number (17842032).

Almost surely, 2^414914430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414914430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570945024).

414914430 is an abundant number, since it is smaller than the sum of its proper divisors (726975618).

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

414914430 is a wasteful number, since it uses less digits than its factorization.

414914430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 414914430 is about 20369.4484461411. The cubic root of 414914430 is about 745.8523224223.

The spelling of 414914430 in words is "four hundred fourteen million, nine hundred fourteen thousand, four hundred thirty".