413123300 has 36 divisors (see below), whose sum is σ = 897637860. Its totient is φ = 165035520.

The previous prime is 413123297. The next prime is 413123323. The reversal of 413123300 is 3321314.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 160376896 + 252746404 = 12664^2 + 15898^2 .

It is a super-2 number, since 2×413123300² = 341341722005780000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91496 + ... + 95904.

It is an arithmetic number, because the mean of its divisors is an integer number (24934385).

Almost surely, 2^413123300 is an apocalyptic number.

It is an amenable number.

413123300 is an abundant number, since it is smaller than the sum of its proper divisors (484514560).

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

413123300 is a wasteful number, since it uses less digits than its factorization.

413123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 413123300 is about 20325.4348046973. The cubic root of 413123300 is about 744.7775261718. Note that the first 3 decimals are identical.

Adding to 413123300 its reverse (3321314), we get a palindrome (416444614).

The spelling of 413123300 in words is "four hundred thirteen million, one hundred twenty-three thousand, three hundred".