413761872 has 80 divisors (see below), whose sum is σ = 1091930112. Its totient is φ = 134977920.

The previous prime is 413761853. The next prime is 413761877. The reversal of 413761872 is 278167314.

It is a self number, because there is not a number n which added to its sum of digits gives 413761872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413761877) 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, 568773 + ... + 569499.

Almost surely, 2^413761872 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 413761872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545965056).

413761872 is an abundant number, since it is smaller than the sum of its proper divisors (678168240).

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

413761872 is a wasteful number, since it uses less digits than its factorization.

413761872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 413761872 is about 20341.1374313237. The cubic root of 413761872 is about 745.1610672276.

The spelling of 413761872 in words is "four hundred thirteen million, seven hundred sixty-one thousand, eight hundred seventy-two".