1460732160 has 144 divisors (see below), whose sum is σ = 4910996160. Its totient is φ = 369008640.

The previous prime is 1460732153. The next prime is 1460732167. The reversal of 1460732160 is 612370641.

It is an interprime number because it is at equal distance from previous prime (1460732153) and next prime (1460732167).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1460732167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62950 + ... + 82970.

It is an arithmetic number, because the mean of its divisors is an integer number (34104140).

Almost surely, 2^1460732160 is an apocalyptic number.

1460732160 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 1460732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455498080).

1460732160 is an abundant number, since it is smaller than the sum of its proper divisors (3450264000).

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

1460732160 is a wasteful number, since it uses less digits than its factorization.

1460732160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20064 (or 20050 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1460732160 is about 38219.5258997283. The cubic root of 1460732160 is about 1134.6367963337.

The spelling of 1460732160 in words is "one billion, four hundred sixty million, seven hundred thirty-two thousand, one hundred sixty".