1461873560 has 128 divisors (see below), whose sum is σ = 3997486080. Its totient is φ = 470266368.

The previous prime is 1461873533. The next prime is 1461873587. The reversal of 1461873560 is 653781641.

It is an interprime number because it is at equal distance from previous prime (1461873533) and next prime (1461873587).

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, 339179 + ... + 343461.

It is an arithmetic number, because the mean of its divisors is an integer number (31230360).

Almost surely, 2^1461873560 is an apocalyptic number.

1461873560 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 1461873560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998743040).

1461873560 is an abundant number, since it is smaller than the sum of its proper divisors (2535612520).

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

1461873560 is a wasteful number, since it uses less digits than its factorization.

1461873560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 1461873560 is about 38234.4551419266. The cubic root of 1461873560 is about 1134.9322502853.

The spelling of 1461873560 in words is "one billion, four hundred sixty-one million, eight hundred seventy-three thousand, five hundred sixty".