4495406080 has 176 divisors, whose sum is σ = 12386151360. Its totient is φ = 1548288000.

The previous prime is 4495406053. The next prime is 4495406081. The reversal of 4495406080 is 806045944.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4495406081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1067980 + ... + 1072180.

It is an arithmetic number, because the mean of its divisors is an integer number (70375860).

Almost surely, 2^4495406080 is an apocalyptic number.

4495406080 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 4495406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193075680).

4495406080 is an abundant number, since it is smaller than the sum of its proper divisors (7890745280).

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

4495406080 is a wasteful number, since it uses less digits than its factorization.

4495406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 4495406080 is about 67047.7895235928. The cubic root of 4495406080 is about 1650.4016261381.

The spelling of 4495406080 in words is "four billion, four hundred ninety-five million, four hundred six thousand, eighty".