1460761872 has 80 divisors (see below), whose sum is σ = 3842462400. Its totient is φ = 478089216.

The previous prime is 1460761867. The next prime is 1460761877. The reversal of 1460761872 is 2781670641.

It is an interprime number because it is at equal distance from previous prime (1460761867) and next prime (1460761877).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1460761877) 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, 1392004 + ... + 1393052.

It is an arithmetic number, because the mean of its divisors is an integer number (48030780).

Almost surely, 2^1460761872 is an apocalyptic number.

1460761872 is a gapful number since it is divisible by the number (12) 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 1460761872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921231200).

1460761872 is an abundant number, since it is smaller than the sum of its proper divisors (2381700528).

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

1460761872 is a wasteful number, since it uses less digits than its factorization.

1460761872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1460761872 is about 38219.9145995906. The cubic root of 1460761872 is about 1134.6444893023.

The spelling of 1460761872 in words is "one billion, four hundred sixty million, seven hundred sixty-one thousand, eight hundred seventy-two".