1461861984 has 144 divisors (see below), whose sum is σ = 4241919024. Its totient is φ = 440478720.

The previous prime is 1461861967. The next prime is 1461862007. The reversal of 1461861984 is 4891681641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3682074 + ... + 3682470.

It is an arithmetic number, because the mean of its divisors is an integer number (29457771).

Almost surely, 2^1461861984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461861984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120959512).

1461861984 is an abundant number, since it is smaller than the sum of its proper divisors (2780057040).

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

1461861984 is a wasteful number, since it uses less digits than its factorization.

1461861984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 730 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 1461861984 is about 38234.3037598437. The cubic root of 1461861984 is about 1134.9292545838.

The spelling of 1461861984 in words is "one billion, four hundred sixty-one million, eight hundred sixty-one thousand, nine hundred eighty-four".