1460975616 has 120 divisors (see below), whose sum is σ = 4364319960. Its totient is φ = 486936576.

The previous prime is 1460975603. The next prime is 1460975623. The reversal of 1460975616 is 6165790641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 161485 + ... + 170291.

It is an arithmetic number, because the mean of its divisors is an integer number (36369333).

Almost surely, 2^1460975616 is an apocalyptic number.

1460975616 is a gapful number since it is divisible by the number (16) 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 1460975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182159980).

1460975616 is an abundant number, since it is smaller than the sum of its proper divisors (2903344344).

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

1460975616 is an frugal number, since it uses more digits than its factorization.

1460975616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1460975616 is about 38222.7107358963. The cubic root of 1460975616 is about 1134.6998283753.

The spelling of 1460975616 in words is "one billion, four hundred sixty million, nine hundred seventy-five thousand, six hundred sixteen".