413190180 has 192 divisors, whose sum is σ = 1405555200. Its totient is φ = 100154880.

The previous prime is 413190179. The next prime is 413190181. The reversal of 413190180 is 81091314.

It is an interprime number because it is at equal distance from previous prime (413190179) and next prime (413190181).

It is a super-2 number, since 2×413190180² = 341452249696864800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (413190181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 498006 + ... + 498834.

It is an arithmetic number, because the mean of its divisors is an integer number (7320600).

Almost surely, 2^413190180 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 413190180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702777600).

413190180 is an abundant number, since it is smaller than the sum of its proper divisors (992365020).

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

413190180 is a wasteful number, since it uses less digits than its factorization.

413190180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 413190180 is about 20327.0799673736. The cubic root of 413190180 is about 744.8177143620.

The spelling of 413190180 in words is "four hundred thirteen million, one hundred ninety thousand, one hundred eighty".