4238464320 has 196 divisors, whose sum is σ = 15133175220. Its totient is φ = 1130194944.

The previous prime is 4238464297. The next prime is 4238464369. The reversal of 4238464320 is 234648324.

4238464320 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 4 + 643 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1035809856 + 3202654464 = 32184^2 + 56592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 224196 + ... + 242364.

Almost surely, 2^4238464320 is an apocalyptic number.

4238464320 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 4238464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566587610).

4238464320 is an abundant number, since it is smaller than the sum of its proper divisors (10894710900).

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

4238464320 is an equidigital number, since it uses as much as digits as its factorization.

4238464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18204 (or 18179 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4238464320 is about 65103.4893074096. The cubic root of 4238464320 is about 1618.3390383638.

The spelling of 4238464320 in words is "four billion, two hundred thirty-eight million, four hundred sixty-four thousand, three hundred twenty".