4495416200 has 108 divisors (see below), whose sum is σ = 11515106085. Its totient is φ = 1630904000.

The previous prime is 4495416187. The next prime is 4495416281. The reversal of 4495416200 is 26145944.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4405507876 + 89908324 = 66374^2 + 9482^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=47410.

It is a super-2 number, since 2×4495416200² = 40417533622444880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10429985 + ... + 10430415.

Almost surely, 2^4495416200 is an apocalyptic number.

4495416200 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 4495416200

4495416200 is an abundant number, since it is smaller than the sum of its proper divisors (7019689885).

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

4495416200 is a wasteful number, since it uses less digits than its factorization.

4495416200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 4495416200 is about 67047.8649921084. The cubic root of 4495416200 is about 1650.4028645914.

The spelling of 4495416200 in words is "four billion, four hundred ninety-five million, four hundred sixteen thousand, two hundred".