413610400 has 72 divisors (see below), whose sum is σ = 1153988640. Its totient is φ = 141807360.

The previous prime is 413610389. The next prime is 413610409. The reversal of 413610400 is 4016314.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (413610409) 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, 31330 + ... + 42529.

It is an arithmetic number, because the mean of its divisors is an integer number (16027620).

Almost surely, 2^413610400 is an apocalyptic number.

413610400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413610400 is an abundant number, since it is smaller than the sum of its proper divisors (740378240).

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

413610400 is a wasteful number, since it uses less digits than its factorization.

413610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73886 (or 73873 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 413610400 is about 20337.4137982193. The cubic root of 413610400 is about 745.0701253751.

Adding to 413610400 its reverse (4016314), we get a palindrome (417626714).

The spelling of 413610400 in words is "four hundred thirteen million, six hundred ten thousand, four hundred".