1460981760 has 416 divisors, whose sum is σ = 5535805440. Its totient is φ = 322043904.

The previous prime is 1460981759. The next prime is 1460981779. The reversal of 1460981760 is 671890641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18493401 + ... + 18493479.

Almost surely, 2^1460981760 is an apocalyptic number.

1460981760 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 1460981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767902720).

1460981760 is an abundant number, since it is smaller than the sum of its proper divisors (4074823680).

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

1460981760 is an equidigital number, since it uses as much as digits as its factorization.

1460981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1460981760 is about 38222.7911068776. The cubic root of 1460981760 is about 1134.7014189987.

It can be divided in two parts, 14609 and 81760, that added together give a palindrome (96369).

The spelling of 1460981760 in words is "one billion, four hundred sixty million, nine hundred eighty-one thousand, seven hundred sixty".