1460163264 has 112 divisors (see below), whose sum is σ = 4534741248. Its totient is φ = 405900288.

The previous prime is 1460163247. The next prime is 1460163277. The reversal of 1460163264 is 4623610641.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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, 35047 + ... + 64409.

Almost surely, 2^1460163264 is an apocalyptic number.

1460163264 is a gapful number since it is divisible by the number (14) 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 1460163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267370624).

1460163264 is an abundant number, since it is smaller than the sum of its proper divisors (3074577984).

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

1460163264 is a wasteful number, since it uses less digits than its factorization.

1460163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29422 (or 29412 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1460163264 is about 38212.0826964456. The cubic root of 1460163264 is about 1134.4894788518.

The spelling of 1460163264 in words is "one billion, four hundred sixty million, one hundred sixty-three thousand, two hundred sixty-four".