403404320 has 144 divisors (see below), whose sum is σ = 1066613184. Its totient is φ = 144038400.

The previous prime is 403404307. The next prime is 403404329. The reversal of 403404320 is 23404304.

It is a happy number.

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 = 403404292 and 403404301.

It is not an unprimeable number, because it can be changed into a prime (403404329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1296965 + ... + 1297275.

It is an arithmetic number, because the mean of its divisors is an integer number (7407036).

Almost surely, 2^403404320 is an apocalyptic number.

403404320 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 403404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533306592).

403404320 is an abundant number, since it is smaller than the sum of its proper divisors (663208864).

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

403404320 is a wasteful number, since it uses less digits than its factorization.

403404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 396 counting only the distinct ones).

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

The square root of 403404320 is about 20084.9276822198. The cubic root of 403404320 is about 738.8906680024.

Adding to 403404320 its reverse (23404304), we get a palindrome (426808624).

The spelling of 403404320 in words is "four hundred three million, four hundred four thousand, three hundred twenty".