4565417472 has 320 divisors, whose sum is σ = 16852492800. Its totient is φ = 1185546240.

The previous prime is 4565417447. The next prime is 4565417491. The reversal of 4565417472 is 2747145654.

4565417472 is a `hidden beast` number, since 4 + 565 + 4 + 17 + 4 + 72 = 666.

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, 1062304 + ... + 1066592.

It is an arithmetic number, because the mean of its divisors is an integer number (52664040).

Almost surely, 2^4565417472 is an apocalyptic number.

4565417472 is a gapful number since it is divisible by the number (42) 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 4565417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426246400).

4565417472 is an abundant number, since it is smaller than the sum of its proper divisors (12287075328).

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

4565417472 is a wasteful number, since it uses less digits than its factorization.

4565417472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4312 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 4565417472 is about 67567.8730758931. The cubic root of 4565417472 is about 1658.9253062257.

The spelling of 4565417472 in words is "four billion, five hundred sixty-five million, four hundred seventeen thousand, four hundred seventy-two".