4497408000 has 408 divisors, whose sum is σ = 16480343256. Its totient is φ = 1179648000.

The previous prime is 4497407989. The next prime is 4497408001. The reversal of 4497408000 is 8047944.

It can be written as a sum of positive squares in 4 ways, for example, as 1090584576 + 3406823424 = 33024^2 + 58368^2 .

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 (4497408001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73727970 + ... + 73728030.

Almost surely, 2^4497408000 is an apocalyptic number.

4497408000 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 4497408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240171628).

4497408000 is an abundant number, since it is smaller than the sum of its proper divisors (11982935256).

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

4497408000 is an frugal number, since it uses more digits than its factorization.

4497408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

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

The square root of 4497408000 is about 67062.7169148402. The cubic root of 4497408000 is about 1650.6465785508.

The spelling of 4497408000 in words is "four billion, four hundred ninety-seven million, four hundred eight thousand".