403320400 has 120 divisors (see below), whose sum is σ = 1145819520. Its totient is φ = 133486080.

The previous prime is 403320389. The next prime is 403320413. The reversal of 403320400 is 4023304.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78717 + ... + 83683.

It is an arithmetic number, because the mean of its divisors is an integer number (9548496).

Almost surely, 2^403320400 is an apocalyptic number.

403320400 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 403320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572909760).

403320400 is an abundant number, since it is smaller than the sum of its proper divisors (742499120).

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

403320400 is a wasteful number, since it uses less digits than its factorization.

403320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 403320400 is about 20082.8384448016. The cubic root of 403320400 is about 738.8394274297.

Adding to 403320400 its reverse (4023304), we get a palindrome (407343704).

The spelling of 403320400 in words is "four hundred three million, three hundred twenty thousand, four hundred".