405584116 has 48 divisors (see below), whose sum is σ = 852800256. Its totient is φ = 165014784.

The previous prime is 405584099. The next prime is 405584117. The reversal of 405584116 is 611485504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405584117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85930 + ... + 90526.

It is an arithmetic number, because the mean of its divisors is an integer number (17766672).

Almost surely, 2^405584116 is an apocalyptic number.

405584116 is a gapful number since it is divisible by the number (46) 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 405584116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426400128).

405584116 is an abundant number, since it is smaller than the sum of its proper divisors (447216140).

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

405584116 is a wasteful number, since it uses less digits than its factorization.

405584116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 4766 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 405584116 is about 20139.1190472672. The cubic root of 405584116 is about 740.2191437644.

The spelling of 405584116 in words is "four hundred five million, five hundred eighty-four thousand, one hundred sixteen".