413866800 has 120 divisors (see below), whose sum is σ = 1473097680. Its totient is φ = 110361600.

The previous prime is 413866799. The next prime is 413866813. The reversal of 413866800 is 8668314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8361 + ... + 29960.

It is an arithmetic number, because the mean of its divisors is an integer number (12275814).

Almost surely, 2^413866800 is an apocalyptic number.

413866800 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 413866800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736548840).

413866800 is an abundant number, since it is smaller than the sum of its proper divisors (1059230880).

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

413866800 is a wasteful number, since it uses less digits than its factorization.

413866800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38348 (or 38331 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 413866800 is about 20343.7164746268. The cubic root of 413866800 is about 745.2240516455.

The spelling of 413866800 in words is "four hundred thirteen million, eight hundred sixty-six thousand, eight hundred".