1460480336 has 80 divisors (see below), whose sum is σ = 3482455680. Its totient is φ = 579072000.

The previous prime is 1460480323. The next prime is 1460480341. The reversal of 1460480336 is 6330840641.

It is a junction number, because it is equal to n+sod(n) for n = 1460480296 and 1460480305.

It is a congruent number.

It is an unprimeable number.

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, 105836 + ... + 118836.

It is an arithmetic number, because the mean of its divisors is an integer number (43530696).

Almost surely, 2^1460480336 is an apocalyptic number.

1460480336 is a gapful number since it is divisible by the number (16) 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 1460480336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741227840).

1460480336 is an abundant number, since it is smaller than the sum of its proper divisors (2021975344).

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

1460480336 is a wasteful number, since it uses less digits than its factorization.

1460480336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13092 (or 13086 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 1460480336 is about 38216.2313160259. The cubic root of 1460480336 is about 1134.5715904035.

The spelling of 1460480336 in words is "one billion, four hundred sixty million, four hundred eighty thousand, three hundred thirty-six".