405420480 has 336 divisors, whose sum is σ = 1521561600. Its totient is φ = 98703360.

The previous prime is 405420439. The next prime is 405420481. The reversal of 405420480 is 84024504.

405420480 is a `hidden beast` number, since 40 + 542 + 0 + 4 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405420481) 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 47 ways as a sum of consecutive naturals, for example, 1696201 + ... + 1696439.

Almost surely, 2^405420480 is an apocalyptic number.

405420480 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 405420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760780800).

405420480 is an abundant number, since it is smaller than the sum of its proper divisors (1116141120).

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

405420480 is a wasteful number, since it uses less digits than its factorization.

405420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 405420480 is about 20135.0559969422. The cubic root of 405420480 is about 740.1195813568.

Adding to 405420480 its reverse (84024504), we get a palindrome (489444984).

The spelling of 405420480 in words is "four hundred five million, four hundred twenty thousand, four hundred eighty".