413541600 has 144 divisors (see below), whose sum is σ = 1382755248. Its totient is φ = 107274240.

The previous prime is 413541577. The next prime is 413541619. The reversal of 413541600 is 6145314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86472 + ... + 91128.

It is an arithmetic number, because the mean of its divisors is an integer number (9602467).

Almost surely, 2^413541600 is an apocalyptic number.

413541600 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 413541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691377624).

413541600 is an abundant number, since it is smaller than the sum of its proper divisors (969213648).

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

413541600 is a wasteful number, since it uses less digits than its factorization.

413541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 413541600 is about 20335.7222640358. The cubic root of 413541600 is about 745.0288114017.

Adding to 413541600 its reverse (6145314), we get a palindrome (419686914).

The spelling of 413541600 in words is "four hundred thirteen million, five hundred forty-one thousand, six hundred".