1461431680 has 64 divisors (see below), whose sum is σ = 3526552080. Its totient is φ = 579082240.

The previous prime is 1461431663. The next prime is 1461431681. The reversal of 1461431680 is 861341641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461431681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57810 + ... + 79150.

Almost surely, 2^1461431680 is an apocalyptic number.

1461431680 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 1461431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763276040).

1461431680 is an abundant number, since it is smaller than the sum of its proper divisors (2065120400).

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

1461431680 is a wasteful number, since it uses less digits than its factorization.

1461431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21467 (or 21455 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1461431680 is about 38228.6761476251. The cubic root of 1461431680 is about 1134.8178869060.

The spelling of 1461431680 in words is "one billion, four hundred sixty-one million, four hundred thirty-one thousand, six hundred eighty".