403680800 has 72 divisors (see below), whose sum is σ = 991342800. Its totient is φ = 160513280.

The previous prime is 403680763. The next prime is 403680811. The reversal of 403680800 is 8086304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141791 + ... + 144609.

It is an arithmetic number, because the mean of its divisors is an integer number (13768650).

Almost surely, 2^403680800 is an apocalyptic number.

403680800 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 403680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495671400).

403680800 is an abundant number, since it is smaller than the sum of its proper divisors (587662000).

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

403680800 is a wasteful number, since it uses less digits than its factorization.

403680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 403680800 is about 20091.8092764191. The cubic root of 403680800 is about 739.0594332078.

The spelling of 403680800 in words is "four hundred three million, six hundred eighty thousand, eight hundred".