413997696 has 256 divisors, whose sum is σ = 1418208000. Its totient is φ = 116453376.

The previous prime is 413997641. The next prime is 413997709. The reversal of 413997696 is 696799314.

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

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2636850 + ... + 2637006.

It is an arithmetic number, because the mean of its divisors is an integer number (5539875).

Almost surely, 2^413997696 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 413997696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709104000).

413997696 is an abundant number, since it is smaller than the sum of its proper divisors (1004210304).

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

413997696 is a wasteful number, since it uses less digits than its factorization.

413997696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 413997696 is about 20346.9333315859. The cubic root of 413997696 is about 745.3026087766.

The spelling of 413997696 in words is "four hundred thirteen million, nine hundred ninety-seven thousand, six hundred ninety-six".