1460641520 has 80 divisors (see below), whose sum is σ = 3695180160. Its totient is φ = 533716992.

The previous prime is 1460641499. The next prime is 1460641531. The reversal of 1460641520 is 251460641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93641 + ... + 108119.

It is an arithmetic number, because the mean of its divisors is an integer number (46189752).

Almost surely, 2^1460641520 is an apocalyptic number.

1460641520 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 1460641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847590080).

1460641520 is an abundant number, since it is smaller than the sum of its proper divisors (2234538640).

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

1460641520 is a wasteful number, since it uses less digits than its factorization.

1460641520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14602 (or 14596 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 1460641520 is about 38218.3401000096. The cubic root of 1460641520 is about 1134.6133273708.

The spelling of 1460641520 in words is "one billion, four hundred sixty million, six hundred forty-one thousand, five hundred twenty".