1460197248 has 64 divisors (see below), whose sum is σ = 3891438720. Its totient is φ = 485127680.

The previous prime is 1460197237. The next prime is 1460197259. The reversal of 1460197248 is 8427910641.

It is an interprime number because it is at equal distance from previous prime (1460197237) and next prime (1460197259).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 113311 + ... + 125537.

It is an arithmetic number, because the mean of its divisors is an integer number (60803730).

Almost surely, 2^1460197248 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 1460197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945719360).

1460197248 is an abundant number, since it is smaller than the sum of its proper divisors (2431241472).

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

1460197248 is a wasteful number, since it uses less digits than its factorization.

1460197248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12555 (or 12543 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1460197248 is about 38212.5273699608. The cubic root of 1460197248 is about 1134.4982801944.

The spelling of 1460197248 in words is "one billion, four hundred sixty million, one hundred ninety-seven thousand, two hundred forty-eight".