1460552064 has 64 divisors (see below), whose sum is σ = 3891650880. Its totient is φ = 485337600.

The previous prime is 1460552063. The next prime is 1460552081. The reversal of 1460552064 is 4602550641.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460552063) 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 7 ways as a sum of consecutive naturals, for example, 121359 + ... + 132849.

It is an arithmetic number, because the mean of its divisors is an integer number (60807045).

Almost surely, 2^1460552064 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 1460552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945825440).

1460552064 is an abundant number, since it is smaller than the sum of its proper divisors (2431098816).

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

1460552064 is a wasteful number, since it uses less digits than its factorization.

1460552064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11839 (or 11827 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1460552064 is about 38217.1697539208. The cubic root of 1460552064 is about 1134.5901640232.

The spelling of 1460552064 in words is "one billion, four hundred sixty million, five hundred fifty-two thousand, sixty-four".