403228800 has 384 divisors, whose sum is σ = 1593648000. Its totient is φ = 98979840.

The previous prime is 403228799. The next prime is 403228841. The reversal of 403228800 is 8822304.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123021 + ... + 1123379.

It is an arithmetic number, because the mean of its divisors is an integer number (4150125).

Almost surely, 2^403228800 is an apocalyptic number.

403228800 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 403228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796824000).

403228800 is an abundant number, since it is smaller than the sum of its proper divisors (1190419200).

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

403228800 is a wasteful number, since it uses less digits than its factorization.

403228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 403228800 is about 20080.5577611779. The cubic root of 403228800 is about 738.7834894246.

The spelling of 403228800 in words is "four hundred three million, two hundred twenty-eight thousand, eight hundred".