410802112 has 56 divisors (see below), whose sum is σ = 934004736. Its totient is φ = 175611648.

The previous prime is 410802101. The next prime is 410802113. The reversal of 410802112 is 211208014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 410802112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410802113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224433 + ... + 226255.

It is an arithmetic number, because the mean of its divisors is an integer number (16678656).

Almost surely, 2^410802112 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 410802112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467002368).

410802112 is an abundant number, since it is smaller than the sum of its proper divisors (523202624).

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

410802112 is a wasteful number, since it uses less digits than its factorization.

410802112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 410802112 is about 20268.2537975031. The cubic root of 410802112 is about 743.3800284813.

The spelling of 410802112 in words is "four hundred ten million, eight hundred two thousand, one hundred twelve".