413221860 has 36 divisors (see below), whose sum is σ = 1253440188. Its totient is φ = 110192448.

The previous prime is 413221811. The next prime is 413221871. The reversal of 413221860 is 68122314.

It can be written as a sum of positive squares in 2 ways, for example, as 317338596 + 95883264 = 17814^2 + 9792^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×413221860⁴ (a number of 36 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1147659 + ... + 1148018.

It is an arithmetic number, because the mean of its divisors is an integer number (34817783).

Almost surely, 2^413221860 is an apocalyptic number.

It is an amenable number.

413221860 is an abundant number, since it is smaller than the sum of its proper divisors (840218328).

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

413221860 is a wasteful number, since it uses less digits than its factorization.

413221860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295692 (or 2295687 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 413221860 is about 20327.8592084853. The cubic root of 413221860 is about 744.8367493596.

The spelling of 413221860 in words is "four hundred thirteen million, two hundred twenty-one thousand, eight hundred sixty".