413006672 has 80 divisors (see below), whose sum is σ = 892442880. Its totient is φ = 183952896.

The previous prime is 413006663. The next prime is 413006677. The reversal of 413006672 is 276600314.

It is a super-2 number, since 2×413006672² = 341149022233031168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413006677) 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, 811154 + ... + 811662.

It is an arithmetic number, because the mean of its divisors is an integer number (11155536).

Almost surely, 2^413006672 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 413006672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446221440).

413006672 is an abundant number, since it is smaller than the sum of its proper divisors (479436208).

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

413006672 is a wasteful number, since it uses less digits than its factorization.

413006672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 413006672 is about 20322.5655860671. The cubic root of 413006672 is about 744.7074340318.

Adding to 413006672 its reverse (276600314), we get a palindrome (689606986).

The spelling of 413006672 in words is "four hundred thirteen million, six thousand, six hundred seventy-two".