405632106 has 96 divisors (see below), whose sum is σ = 1016608320. Its totient is φ = 115718400.

The previous prime is 405632099. The next prime is 405632111. The reversal of 405632106 is 601236504.

It is a self number, because there is not a number n which added to its sum of digits gives 405632106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234561 + ... + 236283.

It is an arithmetic number, because the mean of its divisors is an integer number (10589670).

Almost surely, 2^405632106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405632106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508304160).

405632106 is an abundant number, since it is smaller than the sum of its proper divisors (610976214).

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

405632106 is a wasteful number, since it uses less digits than its factorization.

405632106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 405632106 is about 20140.3104742703. The cubic root of 405632106 is about 740.2483376393.

The spelling of 405632106 in words is "four hundred five million, six hundred thirty-two thousand, one hundred six".