405482112 has 320 divisors, whose sum is σ = 1425747840. Its totient is φ = 111974400.

The previous prime is 405482093. The next prime is 405482123. The reversal of 405482112 is 211284504.

405482112 is a `hidden beast` number, since 4 + 0 + 548 + 2 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2685237 + ... + 2685387.

It is an arithmetic number, because the mean of its divisors is an integer number (4455462).

Almost surely, 2^405482112 is an apocalyptic number.

405482112 is a gapful number since it is divisible by the number (42) 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 405482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712873920).

405482112 is an abundant number, since it is smaller than the sum of its proper divisors (1020265728).

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

405482112 is a wasteful number, since it uses less digits than its factorization.

405482112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 405482112 is about 20136.5864038570. The cubic root of 405482112 is about 740.1570837697.

The spelling of 405482112 in words is "four hundred five million, four hundred eighty-two thousand, one hundred twelve".