1461311760 has 80 divisors (see below), whose sum is σ = 4615579584. Its totient is φ = 382327296.

The previous prime is 1461311723. The next prime is 1461311767. The reversal of 1461311760 is 671131641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1461311767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44722 + ... + 70161.

Almost surely, 2^1461311760 is an apocalyptic number.

1461311760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461311760 is an abundant number, since it is smaller than the sum of its proper divisors (3154267824).

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

1461311760 is a wasteful number, since it uses less digits than its factorization.

1461311760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114952 (or 114946 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1461311760 is about 38227.1076593561. The cubic root of 1461311760 is about 1134.7868463209.

The spelling of 1461311760 in words is "one billion, four hundred sixty-one million, three hundred eleven thousand, seven hundred sixty".