1461544560 has 300 divisors, whose sum is σ = 5906204568. Its totient is φ = 333994752.

The previous prime is 1461544549. The next prime is 1461544573. The reversal of 1461544560 is 654451641.

1461544560 is a `hidden beast` number, since 1 + 4 + 61 + 544 + 56 + 0 = 666.

It is a super-2 number, since 2×1461544560² = 4272225001731187200, which contains 22 as substring.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 315219 + ... + 319821.

Almost surely, 2^1461544560 is an apocalyptic number.

1461544560 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 1461544560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953102284).

1461544560 is an abundant number, since it is smaller than the sum of its proper divisors (4444660008).

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

1461544560 is a wasteful number, since it uses less digits than its factorization.

1461544560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1461544560 is about 38230.1524977340. The cubic root of 1461544560 is about 1134.8471036773.

The spelling of 1461544560 in words is "one billion, four hundred sixty-one million, five hundred forty-four thousand, five hundred sixty".