1460809728 has 520 divisors, whose sum is σ = 5423359392. Its totient is φ = 382205952.

The previous prime is 1460809703. The next prime is 1460809729. The reversal of 1460809728 is 8279080641.

1460809728 is a `hidden beast` number, since 1 + 460 + 80 + 97 + 28 = 666.

It is a super-2 number, since 2×1460809728² = 4267930122838867968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1460809729) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39481326 + ... + 39481362.

Almost surely, 2^1460809728 is an apocalyptic number.

1460809728 is a gapful number since it is divisible by the number (18) 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 1460809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711679696).

1460809728 is an abundant number, since it is smaller than the sum of its proper divisors (3962549664).

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

1460809728 is an equidigital number, since it uses as much as digits as its factorization.

1460809728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1460809728 is about 38220.5406555166. The cubic root of 1460809728 is about 1134.6568798579.

The spelling of 1460809728 in words is "one billion, four hundred sixty million, eight hundred nine thousand, seven hundred twenty-eight".