413569800 has 360 divisors, whose sum is σ = 1674108810. Its totient is φ = 94348800.

The previous prime is 413569787. The next prime is 413569811. The reversal of 413569800 is 8965314.

413569800 is a `hidden beast` number, since 4 + 13 + 569 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 264192516 + 149377284 = 16254^2 + 12222^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 89 ways as a sum of consecutive naturals, for example, 793540 + ... + 794060.

Almost surely, 2^413569800 is an apocalyptic number.

413569800 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 413569800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837054405).

413569800 is an abundant number, since it is smaller than the sum of its proper divisors (1260539010).

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

413569800 is a wasteful number, since it uses less digits than its factorization.

413569800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 413569800 is about 20336.4156133769. The cubic root of 413569800 is about 745.0457458810.

The spelling of 413569800 in words is "four hundred thirteen million, five hundred sixty-nine thousand, eight hundred".