1460085120 has 768 divisors, whose sum is σ = 6094932480. Its totient is φ = 318504960.

The previous prime is 1460085119. The next prime is 1460085131. The reversal of 1460085120 is 215800641.

1460085120 is a `hidden beast` number, since 1 + 4 + 600 + 8 + 51 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 39461742 + ... + 39461778.

It is an arithmetic number, because the mean of its divisors is an integer number (7936110).

Almost surely, 2^1460085120 is an apocalyptic number.

1460085120 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 1460085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047466240).

1460085120 is an abundant number, since it is smaller than the sum of its proper divisors (4634847360).

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

1460085120 is a wasteful number, since it uses less digits than its factorization.

1460085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1460085120 is about 38211.0601789587. The cubic root of 1460085120 is about 1134.4692402183.

Adding to 1460085120 its reverse (215800641), we get a palindrome (1675885761).

The spelling of 1460085120 in words is "one billion, four hundred sixty million, eighty-five thousand, one hundred twenty".