405830880 has 576 divisors, whose sum is σ = 1805207040. Its totient is φ = 80621568.

The previous prime is 405830819. The next prime is 405830897. The reversal of 405830880 is 88038504.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2489679 + ... + 2489841.

It is an arithmetic number, because the mean of its divisors is an integer number (3134040).

Almost surely, 2^405830880 is an apocalyptic number.

405830880 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 405830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902603520).

405830880 is an abundant number, since it is smaller than the sum of its proper divisors (1399376160).

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

405830880 is a wasteful number, since it uses less digits than its factorization.

405830880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 405830880 is about 20145.2446001532. The cubic root of 405830880 is about 740.3692338015.

The spelling of 405830880 in words is "four hundred five million, eight hundred thirty thousand, eight hundred eighty".