1461742360 has 64 divisors (see below), whose sum is σ = 3551738400. Its totient is φ = 538223616.

The previous prime is 1461742357. The next prime is 1461742421. The reversal of 1461742360 is 632471641.

It is a congruent number.

It is an unprimeable number.

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, 193372 + ... + 200788.

Almost surely, 2^1461742360 is an apocalyptic number.

1461742360 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 1461742360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775869200).

1461742360 is an abundant number, since it is smaller than the sum of its proper divisors (2089996040).

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

1461742360 is a wasteful number, since it uses less digits than its factorization.

1461742360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7820 (or 7816 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 1461742360 is about 38232.7393734741. The cubic root of 1461742360 is about 1134.8982966954.

The spelling of 1461742360 in words is "one billion, four hundred sixty-one million, seven hundred forty-two thousand, three hundred sixty".