405199080 has 384 divisors, whose sum is σ = 1641669120. Its totient is φ = 85155840.

The previous prime is 405199037. The next prime is 405199087. The reversal of 405199080 is 80991504.

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

It is not an unprimeable number, because it can be changed into a prime (405199087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 874929 + ... + 875391.

It is an arithmetic number, because the mean of its divisors is an integer number (4275180).

Almost surely, 2^405199080 is an apocalyptic number.

405199080 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 405199080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820834560).

405199080 is an abundant number, since it is smaller than the sum of its proper divisors (1236470040).

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

405199080 is a wasteful number, since it uses less digits than its factorization.

405199080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 405199080 is about 20129.5573721828. The cubic root of 405199080 is about 739.9848304658.

The spelling of 405199080 in words is "four hundred five million, one hundred ninety-nine thousand, eighty".