413300023020 has 576 divisors, whose sum is σ = 1407929402880. Its totient is φ = 101395058688.

The previous prime is 413300023001. The next prime is 413300023027. The reversal of 413300023020 is 20320003314.

413300023020 is a `hidden beast` number, since 413 + 3 + 0 + 0 + 0 + 230 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 413300022984 and 413300023002.

It is not an unprimeable number, because it can be changed into a prime (413300023027) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1090501191 + ... + 1090501569.

It is an arithmetic number, because the mean of its divisors is an integer number (2444321880).

Almost surely, 2^413300023020 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 413300023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703964701440).

413300023020 is an abundant number, since it is smaller than the sum of its proper divisors (994629379860).

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

413300023020 is a wasteful number, since it uses less digits than its factorization.

413300023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 413300023020 its reverse (20320003314), we get a palindrome (433620026334).

The spelling of 413300023020 in words is "four hundred thirteen billion, three hundred million, twenty-three thousand, twenty".