413421696 has 96 divisors (see below), whose sum is σ = 1218819420. Its totient is φ = 134430720.

The previous prime is 413421667. The next prime is 413421713. The reversal of 413421696 is 696124314.

It can be written as a sum of positive squares in 2 ways, for example, as 411278400 + 2143296 = 20280^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 a self number, because there is not a number n which added to its sum of digits gives 413421696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42856 + ... + 51608.

Almost surely, 2^413421696 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 413421696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609409710).

413421696 is an abundant number, since it is smaller than the sum of its proper divisors (805397724).

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

413421696 is a wasteful number, since it uses less digits than its factorization.

413421696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8814 (or 8799 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 413421696 is about 20332.7739376604. The cubic root of 413421696 is about 744.9567988402.

The spelling of 413421696 in words is "four hundred thirteen million, four hundred twenty-one thousand, six hundred ninety-six".