413842176 has 144 divisors (see below), whose sum is σ = 1335304320. Its totient is φ = 125383680.

The previous prime is 413842171. The next prime is 413842213. The reversal of 413842176 is 671248314.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 413842176.

It is not an unprimeable number, because it can be changed into a prime (413842171) 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, 73311 + ... + 78753.

Almost surely, 2^413842176 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 413842176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667652160).

413842176 is an abundant number, since it is smaller than the sum of its proper divisors (921462144).

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

413842176 is a wasteful number, since it uses less digits than its factorization.

413842176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5459 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 413842176 is about 20343.1112664705. Note that the first 3 decimals coincide. The cubic root of 413842176 is about 745.2092717204.

The spelling of 413842176 in words is "four hundred thirteen million, eight hundred forty-two thousand, one hundred seventy-six".