405814980 has 144 divisors (see below), whose sum is σ = 1213571520. Its totient is φ = 101181696.

The previous prime is 405814963. The next prime is 405814987. The reversal of 405814980 is 89418504.

It is not an unprimeable number, because it can be changed into a prime (405814987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6056907 + ... + 6056973.

It is an arithmetic number, because the mean of its divisors is an integer number (8427580).

Almost surely, 2^405814980 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 405814980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606785760).

405814980 is an abundant number, since it is smaller than the sum of its proper divisors (807756540).

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

405814980 is a wasteful number, since it uses less digits than its factorization.

405814980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 405814980 is about 20144.8499622112. The cubic root of 405814980 is about 740.3595647290.

The spelling of 405814980 in words is "four hundred five million, eight hundred fourteen thousand, nine hundred eighty".