406610380 has 48 divisors (see below), whose sum is σ = 935494560. Its totient is φ = 147225600.

The previous prime is 406610371. The next prime is 406610381. The reversal of 406610380 is 83016604.

It is a super-2 number, since 2×406610380² = 330664002247488800, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (406610381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49186 + ... + 56854.

It is an arithmetic number, because the mean of its divisors is an integer number (19489470).

Almost surely, 2^406610380 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 406610380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467747280).

406610380 is an abundant number, since it is smaller than the sum of its proper divisors (528884180).

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

406610380 is a wasteful number, since it uses less digits than its factorization.

406610380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7930 (or 7928 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 406610380 is about 20164.5823165272. The cubic root of 406610380 is about 740.8429522395.

Adding to 406610380 its reverse (83016604), we get a palindrome (489626984).

The spelling of 406610380 in words is "four hundred six million, six hundred ten thousand, three hundred eighty".