4457616160 has 48 divisors (see below), whose sum is σ = 10545103800. Its totient is φ = 1780678656.

The previous prime is 4457616157. The next prime is 4457616161. The reversal of 4457616160 is 616167544.

It can be written as a sum of positive squares in 4 ways, for example, as 3424122256 + 1033493904 = 58516^2 + 32148^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4457616161) 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 7 ways as a sum of consecutive naturals, for example, 104926 + ... + 141154.

Almost surely, 2^4457616160 is an apocalyptic number.

4457616160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4457616160 is an abundant number, since it is smaller than the sum of its proper divisors (6087487640).

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

4457616160 is a wasteful number, since it uses less digits than its factorization.

4457616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37013 (or 37005 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 4457616160 is about 66765.3814487718. The cubic root of 4457616160 is about 1645.7639931961.

The spelling of 4457616160 in words is "four billion, four hundred fifty-seven million, six hundred sixteen thousand, one hundred sixty".