1485756480 has 448 divisors, whose sum is σ = 5530291200. Its totient is φ = 334626816.

The previous prime is 1485756457. The next prime is 1485756491. The reversal of 1485756480 is 846575841.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9971446 + ... + 9971594.

It is an arithmetic number, because the mean of its divisors is an integer number (12344400).

Almost surely, 2^1485756480 is an apocalyptic number.

1485756480 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 1485756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765145600).

1485756480 is an abundant number, since it is smaller than the sum of its proper divisors (4044534720).

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

1485756480 is a wasteful number, since it uses less digits than its factorization.

1485756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The square root of 1485756480 is about 38545.5118009866. The cubic root of 1485756480 is about 1141.0794331181.

The spelling of 1485756480 in words is "one billion, four hundred eighty-five million, seven hundred fifty-six thousand, four hundred eighty".