1485576960 has 288 divisors, whose sum is σ = 5743084032. Its totient is φ = 319488000.

The previous prime is 1485576901. The next prime is 1485576971. The reversal of 1485576960 is 696755841.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455335 + ... + 458585.

It is an arithmetic number, because the mean of its divisors is an integer number (19941264).

Almost surely, 2^1485576960 is an apocalyptic number.

1485576960 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 1485576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871542016).

1485576960 is an abundant number, since it is smaller than the sum of its proper divisors (4257507072).

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

1485576960 is a wasteful number, since it uses less digits than its factorization.

1485576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 1485576960 is about 38543.1830548542. The cubic root of 1485576960 is about 1141.0334734036.

The spelling of 1485576960 in words is "one billion, four hundred eighty-five million, five hundred seventy-six thousand, nine hundred sixty".