1461712880 has 40 divisors (see below), whose sum is σ = 3422958000. Its totient is φ = 580474368.

The previous prime is 1461712873. The next prime is 1461712907. The reversal of 1461712880 is 882171641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 54605 + ... + 76844.

It is an arithmetic number, because the mean of its divisors is an integer number (85573950).

Almost surely, 2^1461712880 is an apocalyptic number.

1461712880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461712880 is an abundant number, since it is smaller than the sum of its proper divisors (1961245120).

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

1461712880 is a wasteful number, since it uses less digits than its factorization.

1461712880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131601 (or 131595 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 1461712880 is about 38232.3538380780. The cubic root of 1461712880 is about 1134.8906672098.

The spelling of 1461712880 in words is "one billion, four hundred sixty-one million, seven hundred twelve thousand, eight hundred eighty".