413725784346 has 192 divisors, whose sum is σ = 1075810959360. Its totient is φ = 117855486000.

The previous prime is 413725784341. The next prime is 413725784389. The reversal of 413725784346 is 643487527314.

413725784346 is a `hidden beast` number, since 4 + 1 + 37 + 2 + 578 + 4 + 34 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 413725784292 and 413725784301.

It is not an unprimeable number, because it can be changed into a prime (413725784341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 550899471 + ... + 550900221.

It is an arithmetic number, because the mean of its divisors is an integer number (5603182080).

Almost surely, 2^413725784346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413725784346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537905479680).

413725784346 is an abundant number, since it is smaller than the sum of its proper divisors (662085175014).

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

413725784346 is an frugal number, since it uses more digits than its factorization.

413725784346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1370 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 413725784346 in words is "four hundred thirteen billion, seven hundred twenty-five million, seven hundred eighty-four thousand, three hundred forty-six".