413991140 has 48 divisors (see below), whose sum is σ = 935658864. Its totient is φ = 153292800.

The previous prime is 413991139. The next prime is 413991167. The reversal of 413991140 is 41199314.

It can be written as a sum of positive squares in 8 ways, for example, as 438244 + 413552896 = 662^2 + 20336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413991097 and 413991106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10760 + ... + 30720.

It is an arithmetic number, because the mean of its divisors is an integer number (19492893).

Almost surely, 2^413991140 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 413991140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467829432).

413991140 is an abundant number, since it is smaller than the sum of its proper divisors (521667724).

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

413991140 is a wasteful number, since it uses less digits than its factorization.

413991140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20048 (or 20046 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 413991140 is about 20346.7722255890. The cubic root of 413991140 is about 745.2986745923.

The spelling of 413991140 in words is "four hundred thirteen million, nine hundred ninety-one thousand, one hundred forty".