409010112 has 252 divisors, whose sum is σ = 1419093936. Its totient is φ = 110315520.

The previous prime is 409010111. The next prime is 409010117. The reversal of 409010112 is 211010904.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409010111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1455412 + ... + 1455692.

Almost surely, 2^409010112 is an apocalyptic number.

409010112 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 409010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709546968).

409010112 is an abundant number, since it is smaller than the sum of its proper divisors (1010083824).

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

409010112 is a wasteful number, since it uses less digits than its factorization.

409010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 409010112 is about 20223.9984177215. The cubic root of 409010112 is about 742.2975293940.

The spelling of 409010112 in words is "four hundred nine million, ten thousand, one hundred twelve".