405662112 has 72 divisors (see below), whose sum is σ = 1156621284. Its totient is φ = 134866944.

The previous prime is 405662107. The next prime is 405662113. The reversal of 405662112 is 211266504.

It can be written as a sum of positive squares in 2 ways, for example, as 398241936 + 7420176 = 19956^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×405662112² = 329123498224601088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405662113) 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 11 ways as a sum of consecutive naturals, for example, 123078 + ... + 126330.

Almost surely, 2^405662112 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 405662112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578310642).

405662112 is an abundant number, since it is smaller than the sum of its proper divisors (750959172).

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

405662112 is a wasteful number, since it uses less digits than its factorization.

405662112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 405662112 is about 20141.0553844629. The cubic root of 405662112 is about 740.2665900932.

The spelling of 405662112 in words is "four hundred five million, six hundred sixty-two thousand, one hundred twelve".