1460413120 has 56 divisors (see below), whose sum is σ = 3485473344. Its totient is φ = 582844416.

The previous prime is 1460413111. The next prime is 1460413127. The reversal of 1460413120 is 213140641.

It is a junction number, because it is equal to n+sod(n) for n = 1460413091 and 1460413100.

It is not an unprimeable number, because it can be changed into a prime (1460413127) 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, 143232 + ... + 153088.

Almost surely, 2^1460413120 is an apocalyptic number.

1460413120 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 1460413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742736672).

1460413120 is an abundant number, since it is smaller than the sum of its proper divisors (2025060224).

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

1460413120 is an equidigital number, since it uses as much as digits as its factorization.

1460413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10337 (or 10327 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1460413120 is about 38215.3518889987. The cubic root of 1460413120 is about 1134.5541845925.

Adding to 1460413120 its reverse (213140641), we get a palindrome (1673553761).

The spelling of 1460413120 in words is "one billion, four hundred sixty million, four hundred thirteen thousand, one hundred twenty".