405300020 has 96 divisors (see below), whose sum is σ = 948326400. Its totient is φ = 144802944.

The previous prime is 405300019. The next prime is 405300031. The reversal of 405300020 is 20003504.

It is a junction number, because it is equal to n+sod(n) for n = 405299968 and 405300004.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 690167 + ... + 690753.

It is an arithmetic number, because the mean of its divisors is an integer number (9878400).

Almost surely, 2^405300020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474163200).

405300020 is an abundant number, since it is smaller than the sum of its proper divisors (543026380).

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

405300020 is a wasteful number, since it uses less digits than its factorization.

405300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 405300020 is about 20132.0644743653. The cubic root of 405300020 is about 740.0462717596.

Adding to 405300020 its reverse (20003504), we get a palindrome (425303524).

The spelling of 405300020 in words is "four hundred five million, three hundred thousand, twenty".