413047600 has 60 divisors (see below), whose sum is σ = 1134118384. Its totient is φ = 141615360.

The previous prime is 413047577. The next prime is 413047601. The reversal of 413047600 is 6740314.

413047600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (413047601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70959 + ... + 76558.

Almost surely, 2^413047600 is an apocalyptic number.

413047600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413047600 is an abundant number, since it is smaller than the sum of its proper divisors (721070784).

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

413047600 is a wasteful number, since it uses less digits than its factorization.

413047600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147542 (or 147531 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 413047600 is about 20323.5725205978. The cubic root of 413047600 is about 744.7320328105.

Adding to 413047600 its reverse (6740314), we get a palindrome (419787914).

The spelling of 413047600 in words is "four hundred thirteen million, forty-seven thousand, six hundred".