1461981320 has 32 divisors (see below), whose sum is σ = 3291888600. Its totient is φ = 584360448.

The previous prime is 1461981319. The next prime is 1461981337. The reversal of 1461981320 is 231891641.

It can be written as a sum of positive squares in 4 ways, for example, as 405861316 + 1056120004 = 20146^2 + 32498^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44372 + ... + 69948.

Almost surely, 2^1461981320 is an apocalyptic number.

1461981320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461981320 is an abundant number, since it is smaller than the sum of its proper divisors (1829907280).

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

1461981320 is a wasteful number, since it uses less digits than its factorization.

1461981320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27017 (or 27013 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 1461981320 is about 38235.8643161103. The cubic root of 1461981320 is about 1134.9601362570.

The spelling of 1461981320 in words is "one billion, four hundred sixty-one million, nine hundred eighty-one thousand, three hundred twenty".