1460272968 has 256 divisors, whose sum is σ = 5324544000. Its totient is φ = 359251200.

The previous prime is 1460272963. The next prime is 1460273029. The reversal of 1460272968 is 8692720641.

It is a happy number.

1460272968 is a `hidden beast` number, since 14 + 602 + 7 + 29 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1460272963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313698 + ... + 318318.

It is an arithmetic number, because the mean of its divisors is an integer number (20799000).

Almost surely, 2^1460272968 is an apocalyptic number.

1460272968 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 1460272968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662272000).

1460272968 is an abundant number, since it is smaller than the sum of its proper divisors (3864271032).

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

1460272968 is a wasteful number, since it uses less digits than its factorization.

1460272968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1460272968 is about 38213.5181316769. The cubic root of 1460272968 is about 1134.5178900394.

The spelling of 1460272968 in words is "one billion, four hundred sixty million, two hundred seventy-two thousand, nine hundred sixty-eight".