406032320 has 56 divisors (see below), whose sum is σ = 971092800. Its totient is φ = 161702912.

The previous prime is 406032259. The next prime is 406032349. The reversal of 406032320 is 23230604.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 406032292 and 406032301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73826 + ... + 79134.

Almost surely, 2^406032320 is an apocalyptic number.

406032320 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 406032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485546400).

406032320 is an abundant number, since it is smaller than the sum of its proper divisors (565060480).

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

406032320 is a wasteful number, since it uses less digits than its factorization.

406032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 406032320 is about 20150.2436709832. The cubic root of 406032320 is about 740.4917111820.

Adding to 406032320 its reverse (23230604), we get a palindrome (429262924).

The spelling of 406032320 in words is "four hundred six million, thirty-two thousand, three hundred twenty".