413169984 has 168 divisors, whose sum is σ = 1269235968. Its totient is φ = 133125120.

The previous prime is 413169983. The next prime is 413170001. The reversal of 413169984 is 489961314.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413169983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481684 + ... + 482540.

It is an arithmetic number, because the mean of its divisors is an integer number (7554976).

Almost surely, 2^413169984 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 413169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634617984).

413169984 is an abundant number, since it is smaller than the sum of its proper divisors (856065984).

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

413169984 is an equidigital number, since it uses as much as digits as its factorization.

413169984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 893 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 413169984 is about 20326.5831855725. The cubic root of 413169984 is about 744.8055790433.

The spelling of 413169984 in words is "four hundred thirteen million, one hundred sixty-nine thousand, nine hundred eighty-four".