405480 has 64 divisors (see below), whose sum is σ = 1267200. Its totient is φ = 103680.

The previous prime is 405473. The next prime is 405487. The reversal of 405480 is 84504.

405480 = T₅₈ + T₅₉ + ... + T₁₃₇.

It is an interprime number because it is at equal distance from previous prime (405473) and next prime (405487).

It is not an unprimeable number, because it can be changed into a prime (405487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3666 + ... + 3774.

It is an arithmetic number, because the mean of its divisors is an integer number (19800).

2⁴⁰⁵⁴⁸⁰ is an apocalyptic number.

405480 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 405480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633600).

405480 is an abundant number, since it is smaller than the sum of its proper divisors (861720).

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

405480 is a wasteful number, since it uses less digits than its factorization.

405480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 405480 is about 636.7731150104. The cubic root of 405480 is about 74.0155798703.

Adding to 405480 its reverse (84504), we get a palindrome (489984).

The spelling of 405480 in words is "four hundred five thousand, four hundred eighty".