412165100 has 72 divisors (see below), whose sum is σ = 959469840. Its totient is φ = 153204480.

The previous prime is 412165073. The next prime is 412165121. The reversal of 412165100 is 1561214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 98654 + ... + 102746.

It is an arithmetic number, because the mean of its divisors is an integer number (13325970).

Almost surely, 2^412165100 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 412165100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479734920).

412165100 is an abundant number, since it is smaller than the sum of its proper divisors (547304740).

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

412165100 is a wasteful number, since it uses less digits than its factorization.

412165100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 412165100 is about 20301.8496694267. The cubic root of 412165100 is about 744.2012669920.

The spelling of 412165100 in words is "four hundred twelve million, one hundred sixty-five thousand, one hundred".