1461406680 has 96 divisors (see below), whose sum is σ = 4820540400. Its totient is φ = 383885568.

The previous prime is 1461406651. The next prime is 1461406691. The reversal of 1461406680 is 866041641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6175 + ... + 54414.

Almost surely, 2^1461406680 is an apocalyptic number.

1461406680 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 1461406680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410270200).

1461406680 is an abundant number, since it is smaller than the sum of its proper divisors (3359133720).

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

1461406680 is a wasteful number, since it uses less digits than its factorization.

1461406680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60673 (or 60666 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1461406680 is about 38228.3491665544. The cubic root of 1461406680 is about 1134.8114159435.

The spelling of 1461406680 in words is "one billion, four hundred sixty-one million, four hundred six thousand, six hundred eighty".