1460430160 has 80 divisors (see below), whose sum is σ = 3916999296. Its totient is φ = 496018944.

The previous prime is 1460430137. The next prime is 1460430161. The reversal of 1460430160 is 610340641.

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

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460430161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47734 + ... + 72106.

Almost surely, 2^1460430160 is an apocalyptic number.

1460430160 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 1460430160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958499648).

1460430160 is an abundant number, since it is smaller than the sum of its proper divisors (2456569136).

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

1460430160 is a wasteful number, since it uses less digits than its factorization.

1460430160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24500 (or 24494 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1460430160 is about 38215.5748353992. The cubic root of 1460430160 is about 1134.5585972088.

The spelling of 1460430160 in words is "one billion, four hundred sixty million, four hundred thirty thousand, one hundred sixty".