413784096 has 96 divisors (see below), whose sum is σ = 1193875200. Its totient is φ = 124442880.

The previous prime is 413784079. The next prime is 413784103. The reversal of 413784096 is 690487314.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145375 + ... + 148193.

It is an arithmetic number, because the mean of its divisors is an integer number (12436200).

Almost surely, 2^413784096 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 413784096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596937600).

413784096 is an abundant number, since it is smaller than the sum of its proper divisors (780091104).

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

413784096 is a wasteful number, since it uses less digits than its factorization.

413784096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 413784096 is about 20341.6837061242. The cubic root of 413784096 is about 745.1744083659.

The spelling of 413784096 in words is "four hundred thirteen million, seven hundred eighty-four thousand, ninety-six".