413704460 has 96 divisors (see below), whose sum is σ = 963144000. Its totient is φ = 148331520.

The previous prime is 413704451. The next prime is 413704463. The reversal of 413704460 is 64407314.

It is not an unprimeable number, because it can be changed into a prime (413704463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2285570 + ... + 2285750.

It is an arithmetic number, because the mean of its divisors is an integer number (10032750).

Almost surely, 2^413704460 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 413704460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481572000).

413704460 is an abundant number, since it is smaller than the sum of its proper divisors (549439540).

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

413704460 is a wasteful number, since it uses less digits than its factorization.

413704460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 413704460 is about 20339.7261535154. The cubic root of 413704460 is about 745.1266004091.

The spelling of 413704460 in words is "four hundred thirteen million, seven hundred four thousand, four hundred sixty".