413787472 has 80 divisors (see below), whose sum is σ = 969005440. Its totient is φ = 167215104.

The previous prime is 413787467. The next prime is 413787481. The reversal of 413787472 is 274787314.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 716848 + ... + 717424.

It is an arithmetic number, because the mean of its divisors is an integer number (12112568).

Almost surely, 2^413787472 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 413787472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484502720).

413787472 is an abundant number, since it is smaller than the sum of its proper divisors (555217968).

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

413787472 is a wasteful number, since it uses less digits than its factorization.

413787472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

The product of its digits is 263424, while the sum is 43.

The square root of 413787472 is about 20341.7666882697. The cubic root of 413787472 is about 745.1764349477.

The spelling of 413787472 in words is "four hundred thirteen million, seven hundred eighty-seven thousand, four hundred seventy-two".