4497456000 has 256 divisors, whose sum is σ = 15262790400. Its totient is φ = 1170892800.

The previous prime is 4497455999. The next prime is 4497456013. The reversal of 4497456000 is 6547944.

It is a happy number.

It is a super-2 number, since 2×4497456000² = 40454220943872000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4497456000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2062911 + ... + 2065089.

It is an arithmetic number, because the mean of its divisors is an integer number (59620275).

Almost surely, 2^4497456000 is an apocalyptic number.

4497456000 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 4497456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7631395200).

4497456000 is an abundant number, since it is smaller than the sum of its proper divisors (10765334400).

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

4497456000 is a wasteful number, since it uses less digits than its factorization.

4497456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 4497456000 is about 67063.0747878443. The cubic root of 4497456000 is about 1650.6524508780.

The spelling of 4497456000 in words is "four billion, four hundred ninety-seven million, four hundred fifty-six thousand".