4560857280 has 896 divisors, whose sum is σ = 19994880000. Its totient is φ = 987614208.

The previous prime is 4560857263. The next prime is 4560857293. The reversal of 4560857280 is 827580654.

4560857280 is a `hidden beast` number, since 4 + 560 + 8 + 5 + 7 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 240045111 + ... + 240045129.

Almost surely, 2^4560857280 is an apocalyptic number.

4560857280 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 4560857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9997440000).

4560857280 is an abundant number, since it is smaller than the sum of its proper divisors (15434022720).

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

4560857280 is an frugal number, since it uses more digits than its factorization.

4560857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 4560857280 is about 67534.1193768009. The cubic root of 4560857280 is about 1658.3727800408.

The spelling of 4560857280 in words is "four billion, five hundred sixty million, eight hundred fifty-seven thousand, two hundred eighty".