4457496960 has 512 divisors, whose sum is σ = 18483379200. Its totient is φ = 994000896.

The previous prime is 4457496943. The next prime is 4457496961. The reversal of 4457496960 is 696947544.

It is a happy number.

4457496960 is a `hidden beast` number, since 4 + 4 + 574 + 9 + 6 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4457496897 and 4457496906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4457496961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5200852 + ... + 5201708.

It is an arithmetic number, because the mean of its divisors is an integer number (36100350).

Almost surely, 2^4457496960 is an apocalyptic number.

4457496960 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 4457496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241689600).

4457496960 is an abundant number, since it is smaller than the sum of its proper divisors (14025882240).

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

4457496960 is a wasteful number, since it uses less digits than its factorization.

4457496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 4457496960 is about 66764.4887646120. The cubic root of 4457496960 is about 1645.7493234108.

The spelling of 4457496960 in words is "four billion, four hundred fifty-seven million, four hundred ninety-six thousand, nine hundred sixty".