400382320 has 80 divisors (see below), whose sum is σ = 1006185600. Its totient is φ = 147290112.

The previous prime is 400382309. The next prime is 400382327. The reversal of 400382320 is 23283004.

400382320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 400382291 and 400382300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400382327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381156 + ... + 382204.

It is an arithmetic number, because the mean of its divisors is an integer number (12577320).

Almost surely, 2^400382320 is an apocalyptic number.

400382320 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 400382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503092800).

400382320 is an abundant number, since it is smaller than the sum of its proper divisors (605803280).

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

400382320 is a wasteful number, since it uses less digits than its factorization.

400382320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 400382320 is about 20009.5557172067. Note that the first 3 decimals coincide. The cubic root of 400382320 is about 737.0409714646.

The spelling of 400382320 in words is "four hundred million, three hundred eighty-two thousand, three hundred twenty".