1485845760 has 288 divisors, whose sum is σ = 5472294912. Its totient is φ = 336568320.

The previous prime is 1485845759. The next prime is 1485845791. The reversal of 1485845760 is 675485841.

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

It is a congruent number.

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, 4488795 + ... + 4489125.

It is an arithmetic number, because the mean of its divisors is an integer number (19001024).

Almost surely, 2^1485845760 is an apocalyptic number.

1485845760 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 1485845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736147456).

1485845760 is an abundant number, since it is smaller than the sum of its proper divisors (3986449152).

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

1485845760 is a wasteful number, since it uses less digits than its factorization.

1485845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

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

The square root of 1485845760 is about 38546.6698950765. The cubic root of 1485845760 is about 1141.1022887100.

The spelling of 1485845760 in words is "one billion, four hundred eighty-five million, eight hundred forty-five thousand, seven hundred sixty".