4465264320 has 280 divisors, whose sum is σ = 17328812688. Its totient is φ = 1082419200.

The previous prime is 4465264291. The next prime is 4465264327. The reversal of 4465264320 is 234625644.

4465264320 is a `hidden beast` number, since 4 + 4 + 6 + 5 + 2 + 643 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4465264327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 277290 + ... + 292950.

Almost surely, 2^4465264320 is an apocalyptic number.

4465264320 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 4465264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664406344).

4465264320 is an abundant number, since it is smaller than the sum of its proper divisors (12863548368).

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

4465264320 is a wasteful number, since it uses less digits than its factorization.

4465264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15701 (or 15682 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4465264320 is about 66822.6332914230. The cubic root of 4465264320 is about 1646.7046958787.

Adding to 4465264320 its reverse (234625644), we get a palindrome (4699889964).

The spelling of 4465264320 in words is "four billion, four hundred sixty-five million, two hundred sixty-four thousand, three hundred twenty".