4497480000 has 630 divisors, whose sum is σ = 17925669762. Its totient is φ = 1071360000.

The previous prime is 4497479971. The next prime is 4497480011. The reversal of 4497480000 is 847944.

It can be written as a sum of positive squares in 5 ways, for example, as 2635384896 + 1862095104 = 51336^2 + 43152^2 .

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 89 ways as a sum of consecutive naturals, for example, 145079985 + ... + 145080015.

Almost surely, 2^4497480000 is an apocalyptic number.

4497480000 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 4497480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8962834881).

4497480000 is an abundant number, since it is smaller than the sum of its proper divisors (13428189762).

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

4497480000 is a wasteful number, since it uses less digits than its factorization.

4497480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4497480000 is about 67063.2537236302. The cubic root of 4497480000 is about 1650.6553870259.

The spelling of 4497480000 in words is "four billion, four hundred ninety-seven million, four hundred eighty thousand".