405813380 has 96 divisors (see below), whose sum is σ = 1023128064. Its totient is φ = 132194304.

The previous prime is 405813347. The next prime is 405813383. The reversal of 405813380 is 83318504.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (405813383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621134 + ... + 621786.

It is an arithmetic number, because the mean of its divisors is an integer number (10657584).

Almost surely, 2^405813380 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 405813380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511564032).

405813380 is an abundant number, since it is smaller than the sum of its proper divisors (617314684).

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

405813380 is a wasteful number, since it uses less digits than its factorization.

405813380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 405813380 is about 20144.8102497889. The cubic root of 405813380 is about 740.3585917266.

The spelling of 405813380 in words is "four hundred five million, eight hundred thirteen thousand, three hundred eighty".