1460712960 has 320 divisors, whose sum is σ = 5931763200. Its totient is φ = 333766656.

The previous prime is 1460712949. The next prime is 1460712983. The reversal of 1460712960 is 692170641.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 482331 + ... + 485349.

It is an arithmetic number, because the mean of its divisors is an integer number (18536760).

Almost surely, 2^1460712960 is an apocalyptic number.

1460712960 is a gapful number since it is divisible by the number (10) 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 1460712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965881600).

1460712960 is an abundant number, since it is smaller than the sum of its proper divisors (4471050240).

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

1460712960 is an equidigital number, since it uses as much as digits as its factorization.

1460712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1460712960 is about 38219.2747183931. The cubic root of 1460712960 is about 1134.6318250545.

The spelling of 1460712960 in words is "one billion, four hundred sixty million, seven hundred twelve thousand, nine hundred sixty".