402216320 has 256 divisors, whose sum is σ = 1151539200. Its totient is φ = 132710400.

The previous prime is 402216313. The next prime is 402216323. The reversal of 402216320 is 23612204.

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 = 402216292 and 402216301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402216323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4146512 + ... + 4146608.

It is an arithmetic number, because the mean of its divisors is an integer number (4498200).

Almost surely, 2^402216320 is an apocalyptic number.

402216320 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 402216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575769600).

402216320 is an abundant number, since it is smaller than the sum of its proper divisors (749322880).

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

402216320 is a wasteful number, since it uses less digits than its factorization.

402216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 402216320 is about 20055.3314607363. The cubic root of 402216320 is about 738.1646261853.

Adding to 402216320 its reverse (23612204), we get a palindrome (425828524).

The spelling of 402216320 in words is "four hundred two million, two hundred sixteen thousand, three hundred twenty".