413112400 has 120 divisors (see below), whose sum is σ = 1033021184. Its totient is φ = 158630400.

The previous prime is 413112389. The next prime is 413112443. The reversal of 413112400 is 4211314.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1524265 + ... + 1524535.

Almost surely, 2^413112400 is an apocalyptic number.

413112400 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 413112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516510592).

413112400 is an abundant number, since it is smaller than the sum of its proper divisors (619908784).

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

413112400 is a wasteful number, since it uses less digits than its factorization.

413112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 413112400 is about 20325.1666659833. The cubic root of 413112400 is about 744.7709759511.

Adding to 413112400 its reverse (4211314), we get a palindrome (417323714).

The spelling of 413112400 in words is "four hundred thirteen million, one hundred twelve thousand, four hundred".