406405080 has 128 divisors (see below), whose sum is σ = 1365811200. Its totient is φ = 107485056.

The previous prime is 406405037. The next prime is 406405081. The reversal of 406405080 is 80504604.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406405081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135679 + ... + 138641.

It is an arithmetic number, because the mean of its divisors is an integer number (10670400).

Almost surely, 2^406405080 is an apocalyptic number.

406405080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406405080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682905600).

406405080 is an abundant number, since it is smaller than the sum of its proper divisors (959406120).

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

406405080 is a wasteful number, since it uses less digits than its factorization.

406405080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 406405080 is about 20159.4910650046. The cubic root of 406405080 is about 740.7182459107.

Adding to 406405080 its reverse (80504604), we get a palindrome (486909684).

The spelling of 406405080 in words is "four hundred six million, four hundred five thousand, eighty".