413300976 has 80 divisors (see below), whose sum is σ = 1171532160. Its totient is φ = 124514560.

The previous prime is 413300969. The next prime is 413300981. The reversal of 413300976 is 679003314.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 92326 + ... + 96698.

It is an arithmetic number, because the mean of its divisors is an integer number (14644152).

Almost surely, 2^413300976 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 413300976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585766080).

413300976 is an abundant number, since it is smaller than the sum of its proper divisors (758231184).

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

413300976 is a wasteful number, since it uses less digits than its factorization.

413300976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 413300976 is about 20329.8051146586. The cubic root of 413300976 is about 744.8842821335.

The spelling of 413300976 in words is "four hundred thirteen million, three hundred thousand, nine hundred seventy-six".