405080 has 64 divisors (see below), whose sum is σ = 1058400. Its totient is φ = 138240.

The previous prime is 405073. The next prime is 405089. The reversal of 405080 is 80504.

405080 = T₃₁ + T₃₂ + ... + T₁₃₄.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9860 + ... + 9900.

2⁴⁰⁵⁰⁸⁰ is an apocalyptic number.

405080 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 405080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529200).

405080 is an abundant number, since it is smaller than the sum of its proper divisors (653320).

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

405080 is a wasteful number, since it uses less digits than its factorization.

405080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 405080 is about 636.4589539004. The cubic root of 405080 is about 73.9912334392.

Adding to 405080 its reverse (80504), we get a palindrome (485584).

The spelling of 405080 in words is "four hundred five thousand, eighty".