1460532160 has 56 divisors (see below), whose sum is σ = 3499353936. Its totient is φ = 580608000.

The previous prime is 1460532149. The next prime is 1460532163. The reversal of 1460532160 is 612350641.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460532163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38160 + ... + 66160.

Almost surely, 2^1460532160 is an apocalyptic number.

1460532160 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 1460532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749676968).

1460532160 is an abundant number, since it is smaller than the sum of its proper divisors (2038821776).

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

1460532160 is a wasteful number, since it uses less digits than its factorization.

1460532160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28181 (or 28171 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1460532160 is about 38216.9093465183. The cubic root of 1460532160 is about 1134.5850100393.

The spelling of 1460532160 in words is "one billion, four hundred sixty million, five hundred thirty-two thousand, one hundred sixty".