1460271360 has 144 divisors (see below), whose sum is σ = 4694364864. Its totient is φ = 386850816.

The previous prime is 1460271349. The next prime is 1460271361. The reversal of 1460271360 is 631720641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460271361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624754 + ... + 627086.

It is an arithmetic number, because the mean of its divisors is an integer number (32599756).

Almost surely, 2^1460271360 is an apocalyptic number.

1460271360 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 1460271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347182432).

1460271360 is an abundant number, since it is smaller than the sum of its proper divisors (3234093504).

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

1460271360 is a wasteful number, since it uses less digits than its factorization.

1460271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1460271360 is about 38213.4970919962. The cubic root of 1460271360 is about 1134.5174736091.

The spelling of 1460271360 in words is "one billion, four hundred sixty million, two hundred seventy-one thousand, three hundred sixty".