1461345792 has 80 divisors (see below), whose sum is σ = 3942723840. Its totient is φ = 480909312.

The previous prime is 1461345791. The next prime is 1461345817. The reversal of 1461345792 is 2975431641.

It is a super-2 number, since 2×1461345792² = 4271063047592214528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461345791) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 115323 + ... + 127365.

It is an arithmetic number, because the mean of its divisors is an integer number (49284048).

Almost surely, 2^1461345792 is an apocalyptic number.

1461345792 is a gapful number since it is divisible by the number (12) 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 1461345792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971361920).

1461345792 is an abundant number, since it is smaller than the sum of its proper divisors (2481378048).

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

1461345792 is an equidigital number, since it uses as much as digits as its factorization.

1461345792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12143 (or 12127 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 1461345792 is about 38227.5527859161. The cubic root of 1461345792 is about 1134.7956554761.

The spelling of 1461345792 in words is "one billion, four hundred sixty-one million, three hundred forty-five thousand, seven hundred ninety-two".