403224320 has 72 divisors (see below), whose sum is σ = 975723840. Its totient is φ = 159641600.

The previous prime is 403224281. The next prime is 403224329. The reversal of 403224320 is 23422304.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 403224292 and 403224301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403224329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127721 + ... + 130839.

It is an arithmetic number, because the mean of its divisors is an integer number (13551720).

Almost surely, 2^403224320 is an apocalyptic number.

403224320 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 403224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487861920).

403224320 is an abundant number, since it is smaller than the sum of its proper divisors (572499520).

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

403224320 is a wasteful number, since it uses less digits than its factorization.

403224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 403224320 is about 20080.4462101817. The cubic root of 403224320 is about 738.7807533748.

Adding to 403224320 its reverse (23422304), we get a palindrome (426646624).

The spelling of 403224320 in words is "four hundred three million, two hundred twenty-four thousand, three hundred twenty".