405131080 has 64 divisors (see below), whose sum is σ = 969686640. Its totient is φ = 151805952.

The previous prime is 405131071. The next prime is 405131081. The reversal of 405131080 is 80131504.

It can be written as a sum of positive squares in 8 ways, for example, as 155301444 + 249829636 = 12462^2 + 15806^2 .

It is not an unprimeable number, because it can be changed into a prime (405131081) 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, 157162 + ... + 159718.

Almost surely, 2^405131080 is an apocalyptic number.

405131080 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 405131080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484843320).

405131080 is an abundant number, since it is smaller than the sum of its proper divisors (564555560).

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

405131080 is a wasteful number, since it uses less digits than its factorization.

405131080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 405131080 is about 20127.8682428120. The cubic root of 405131080 is about 739.9434337088.

Adding to 405131080 its reverse (80131504), we get a palindrome (485262584).

The spelling of 405131080 in words is "four hundred five million, one hundred thirty-one thousand, eighty".