413826624 has 112 divisors (see below), whose sum is σ = 1234074240. Its totient is φ = 135959040.

The previous prime is 413826617. The next prime is 413826659. The reversal of 413826624 is 426628314.

413826624 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 26 + 624 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121002 + ... + 124374.

It is an arithmetic number, because the mean of its divisors is an integer number (11018520).

Almost surely, 2^413826624 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 413826624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617037120).

413826624 is an abundant number, since it is smaller than the sum of its proper divisors (820247616).

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

413826624 is a wasteful number, since it uses less digits than its factorization.

413826624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3449 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 413826624 is about 20342.7290204633. The cubic root of 413826624 is about 745.1999367287.

The spelling of 413826624 in words is "four hundred thirteen million, eight hundred twenty-six thousand, six hundred twenty-four".