406014180 has 192 divisors, whose sum is σ = 1354752000. Its totient is φ = 89556480.

The previous prime is 406014163. The next prime is 406014187. The reversal of 406014180 is 81410604.

It is a super-2 number, since 2×406014180² = 329695028722144800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406014180.

It is not an unprimeable number, because it can be changed into a prime (406014187) 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, 677521 + ... + 678119.

It is an arithmetic number, because the mean of its divisors is an integer number (7056000).

Almost surely, 2^406014180 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 406014180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376000).

406014180 is an abundant number, since it is smaller than the sum of its proper divisors (948737820).

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

406014180 is a wasteful number, since it uses less digits than its factorization.

406014180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 406014180 is about 20149.7935473295. The cubic root of 406014180 is about 740.4806835544.

Adding to 406014180 its reverse (81410604), we get a palindrome (487424784).

The spelling of 406014180 in words is "four hundred six million, fourteen thousand, one hundred eighty".