412195872 has 96 divisors (see below), whose sum is σ = 1249867584. Its totient is φ = 117555200.

The previous prime is 412195853. The next prime is 412195877. The reversal of 412195872 is 278591214.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 412195872.

It is not an unprimeable number, because it can be changed into a prime (412195877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6472 + ... + 29432.

It is an arithmetic number, because the mean of its divisors is an integer number (13019454).

Almost surely, 2^412195872 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 412195872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624933792).

412195872 is an abundant number, since it is smaller than the sum of its proper divisors (837671712).

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

412195872 is a wasteful number, since it uses less digits than its factorization.

412195872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23002 (or 22994 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 412195872 is about 20302.6075172624. The cubic root of 412195872 is about 744.2197870717.

The spelling of 412195872 in words is "four hundred twelve million, one hundred ninety-five thousand, eight hundred seventy-two".