1480746960 has 640 divisors, whose sum is σ = 6599577600. Its totient is φ = 296110080.

The previous prime is 1480746959. The next prime is 1480746991. The reversal of 1480746960 is 696470841.

It is a super-2 number, since 2×1480746960² = 4385223119098483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 4823127 + ... + 4823433.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2^1480746960 is an apocalyptic number.

1480746960 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 1480746960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299788800).

1480746960 is an abundant number, since it is smaller than the sum of its proper divisors (5118830640).

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

1480746960 is a wasteful number, since it uses less digits than its factorization.

1480746960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1480746960 is about 38480.4750490427. The cubic root of 1480746960 is about 1139.7955311960.

The spelling of 1480746960 in words is "one billion, four hundred eighty million, seven hundred forty-six thousand, nine hundred sixty".