414814464 has 216 divisors, whose sum is σ = 1262701440. Its totient is φ = 130830336.

The previous prime is 414814417. The next prime is 414814481. The reversal of 414814464 is 464418414.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5250777 + ... + 5250855.

It is an arithmetic number, because the mean of its divisors is an integer number (5845840).

Almost surely, 2^414814464 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 414814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631350720).

414814464 is an abundant number, since it is smaller than the sum of its proper divisors (847886976).

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

414814464 is a wasteful number, since it uses less digits than its factorization.

414814464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 414814464 is about 20366.9944763581. The cubic root of 414814464 is about 745.7924178117.

The spelling of 414814464 in words is "four hundred fourteen million, eight hundred fourteen thousand, four hundred sixty-four".