413454006 has 96 divisors (see below), whose sum is σ = 1065332736. Its totient is φ = 113400000.

The previous prime is 413453993. The next prime is 413454011. The reversal of 413454006 is 600454314.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589456 + ... + 590156.

It is an arithmetic number, because the mean of its divisors is an integer number (11097216).

Almost surely, 2^413454006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413454006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532666368).

413454006 is an abundant number, since it is smaller than the sum of its proper divisors (651878730).

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

413454006 is a wasteful number, since it uses less digits than its factorization.

413454006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 413454006 is about 20333.5684521925. The cubic root of 413454006 is about 744.9762051166.

The spelling of 413454006 in words is "four hundred thirteen million, four hundred fifty-four thousand, six".