400303320 has 128 divisors (see below), whose sum is σ = 1226534400. Its totient is φ = 104500224.

The previous prime is 400303303. The next prime is 400303361. The reversal of 400303320 is 23303004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 400303320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1717924 + ... + 1718156.

It is an arithmetic number, because the mean of its divisors is an integer number (9582300).

Almost surely, 2^400303320 is an apocalyptic number.

400303320 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 400303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613267200).

400303320 is an abundant number, since it is smaller than the sum of its proper divisors (826231080).

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

400303320 is a wasteful number, since it uses less digits than its factorization.

400303320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 400303320 is about 20007.5815629976. The cubic root of 400303320 is about 736.9924927450.

Adding to 400303320 its reverse (23303004), we get a palindrome (423606324).

The spelling of 400303320 in words is "four hundred million, three hundred three thousand, three hundred twenty".