414104768 has 112 divisors (see below), whose sum is σ = 1084990464. Its totient is φ = 151818240.

The previous prime is 414104767. The next prime is 414104771. The reversal of 414104768 is 867401414.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (414104767) 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, 81305 + ... + 86247.

Almost surely, 2^414104768 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 414104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542495232).

414104768 is an abundant number, since it is smaller than the sum of its proper divisors (670885696).

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

414104768 is a wasteful number, since it uses less digits than its factorization.

414104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 414104768 is about 20349.5643196605. The cubic root of 414104768 is about 745.3668556416.

The spelling of 414104768 in words is "four hundred fourteen million, one hundred four thousand, seven hundred sixty-eight".