413994336 has 288 divisors, whose sum is σ = 1389975552. Its totient is φ = 107089920.

The previous prime is 413994323. The next prime is 413994341. The reversal of 413994336 is 633499314.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2478925 + ... + 2479091.

It is an arithmetic number, because the mean of its divisors is an integer number (4826304).

Almost surely, 2^413994336 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 413994336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694987776).

413994336 is an abundant number, since it is smaller than the sum of its proper divisors (975981216).

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

413994336 is a wasteful number, since it uses less digits than its factorization.

413994336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its digits is 209952, while the sum is 42.

The square root of 413994336 is about 20346.8507636931. The cubic root of 413994336 is about 745.3005924823.

The spelling of 413994336 in words is "four hundred thirteen million, nine hundred ninety-four thousand, three hundred thirty-six".