4464157320 has 256 divisors, whose sum is σ = 17241408000. Its totient is φ = 1006276608.

The previous prime is 4464157307. The next prime is 4464157343. The reversal of 4464157320 is 237514644.

4464157320 is a `hidden beast` number, since 4 + 4 + 64 + 1 + 573 + 20 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 547836 + ... + 555924.

It is an arithmetic number, because the mean of its divisors is an integer number (67349250).

Almost surely, 2^4464157320 is an apocalyptic number.

4464157320 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 4464157320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8620704000).

4464157320 is an abundant number, since it is smaller than the sum of its proper divisors (12777250680).

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

4464157320 is a wasteful number, since it uses less digits than its factorization.

4464157320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8179 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4464157320 is about 66814.3496563425. The cubic root of 4464157320 is about 1646.5686044382.

The spelling of 4464157320 in words is "four billion, four hundred sixty-four million, one hundred fifty-seven thousand, three hundred twenty".