413731600 has 120 divisors (see below), whose sum is σ = 1035112320. Its totient is φ = 158799360.

The previous prime is 413731597. The next prime is 413731609. The reversal of 413731600 is 6137314.

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 (413731609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1109014 + ... + 1109386.

It is an arithmetic number, because the mean of its divisors is an integer number (8625936).

Almost surely, 2^413731600 is an apocalyptic number.

413731600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413731600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517556160).

413731600 is an abundant number, since it is smaller than the sum of its proper divisors (621380720).

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

413731600 is a wasteful number, since it uses less digits than its factorization.

413731600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 413731600 is about 20340.3933098650. The cubic root of 413731600 is about 745.1428940806.

Adding to 413731600 its reverse (6137314), we get a palindrome (419868914).

The spelling of 413731600 in words is "four hundred thirteen million, seven hundred thirty-one thousand, six hundred".