424216320 has 288 divisors, whose sum is σ = 1508177664. Its totient is φ = 101601280.

The previous prime is 424216297. The next prime is 424216361. The reversal of 424216320 is 23612424.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5110999 + ... + 5111081.

It is an arithmetic number, because the mean of its divisors is an integer number (5236728).

Almost surely, 2^424216320 is an apocalyptic number.

424216320 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 424216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754088832).

424216320 is an abundant number, since it is smaller than the sum of its proper divisors (1083961344).

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

424216320 is an equidigital number, since it uses as much as digits as its factorization.

424216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 424216320 is about 20596.5123261197. The cubic root of 424216320 is about 751.3848900875.

Adding to 424216320 its reverse (23612424), we get a palindrome (447828744).

The spelling of 424216320 in words is "four hundred twenty-four million, two hundred sixteen thousand, three hundred twenty".