414681696 has 144 divisors (see below), whose sum is σ = 1385551440. Its totient is φ = 115983360.

The previous prime is 414681691. The next prime is 414681733. The reversal of 414681696 is 696186414.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414681691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36150 + ... + 46218.

It is an arithmetic number, because the mean of its divisors is an integer number (9621885).

Almost surely, 2^414681696 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 414681696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692775720).

414681696 is an abundant number, since it is smaller than the sum of its proper divisors (970869744).

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

414681696 is a wasteful number, since it uses less digits than its factorization.

414681696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109 (or 10098 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 414681696 is about 20363.7348244373. The cubic root of 414681696 is about 745.7128417263.

The spelling of 414681696 in words is "four hundred fourteen million, six hundred eighty-one thousand, six hundred ninety-six".