1460749888 has 112 divisors (see below), whose sum is σ = 3333536640. Its totient is φ = 629121024.

The previous prime is 1460749877. The next prime is 1460749889. The reversal of 1460749888 is 8889470641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1460749889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1965645 + ... + 1966387.

It is an arithmetic number, because the mean of its divisors is an integer number (29763720).

Almost surely, 2^1460749888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1460749888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666768320).

1460749888 is an abundant number, since it is smaller than the sum of its proper divisors (1872786752).

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

1460749888 is a wasteful number, since it uses less digits than its factorization.

1460749888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 55.

The square root of 1460749888 is about 38219.7578223620. The cubic root of 1460749888 is about 1134.6413864427.

The spelling of 1460749888 in words is "one billion, four hundred sixty million, seven hundred forty-nine thousand, eight hundred eighty-eight".