400324320 has 288 divisors, whose sum is σ = 1509580800. Its totient is φ = 95800320.

The previous prime is 400324303. The next prime is 400324373. The reversal of 400324320 is 23423004.

400324320 is a `hidden beast` number, since 400 + 3 + 243 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×400324320² = 320519122366924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400324293 and 400324302.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2011581 + ... + 2011779.

It is an arithmetic number, because the mean of its divisors is an integer number (5241600).

Almost surely, 2^400324320 is an apocalyptic number.

400324320 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 400324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

400324320 is an abundant number, since it is smaller than the sum of its proper divisors (1109256480).

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

400324320 is a wasteful number, since it uses less digits than its factorization.

400324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 400324320 is about 20008.1063571743. The cubic root of 400324320 is about 737.0053801156.

Adding to 400324320 its reverse (23423004), we get a palindrome (423747324).

The spelling of 400324320 in words is "four hundred million, three hundred twenty-four thousand, three hundred twenty".