405405414900 has 216 divisors, whose sum is σ = 1341453204000. Its totient is φ = 102123244800.

The previous prime is 405405414889. The next prime is 405405414929. The reversal of 405405414900 is 9414504504.

It is a super-2 number, since 2×405405414900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5933935 + ... + 6001865.

It is an arithmetic number, because the mean of its divisors is an integer number (6210431500).

Almost surely, 2^405405414900 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 405405414900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670726602000).

405405414900 is an abundant number, since it is smaller than the sum of its proper divisors (936047789100).

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

405405414900 is a wasteful number, since it uses less digits than its factorization.

405405414900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68319 (or 68309 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 405405414900 in words is "four hundred five billion, four hundred five million, four hundred fourteen thousand, nine hundred".