4493364480 has 432 divisors, whose sum is σ = 17276051520. Its totient is φ = 1069056000.

The previous prime is 4493364467. The next prime is 4493364509. The reversal of 4493364480 is 844633944.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7476180 + ... + 7476780.

It is an arithmetic number, because the mean of its divisors is an integer number (39990860).

Almost surely, 2^4493364480 is an apocalyptic number.

4493364480 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 4493364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638025760).

4493364480 is an abundant number, since it is smaller than the sum of its proper divisors (12782687040).

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

4493364480 is a wasteful number, since it uses less digits than its factorization.

4493364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 4493364480 is about 67032.5628332977. The cubic root of 4493364480 is about 1650.1517436201.

The spelling of 4493364480 in words is "four billion, four hundred ninety-three million, three hundred sixty-four thousand, four hundred eighty".