413574336 has 336 divisors, whose sum is σ = 1464503040. Its totient is φ = 113218560.

The previous prime is 413574313. The next prime is 413574377. The reversal of 413574336 is 633475314.

It is a tau number, because it is divible by the number of its divisors (336).

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 413574336.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3156991 + ... + 3157121.

It is an arithmetic number, because the mean of its divisors is an integer number (4358640).

Almost surely, 2^413574336 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 413574336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732251520).

413574336 is an abundant number, since it is smaller than the sum of its proper divisors (1050928704).

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

413574336 is a wasteful number, since it uses less digits than its factorization.

413574336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 413574336 is about 20336.5271371491. The cubic root of 413574336 is about 745.0484697381.

The spelling of 413574336 in words is "four hundred thirteen million, five hundred seventy-four thousand, three hundred thirty-six".