1485319680 has 800 divisors, whose sum is σ = 6238663200. Its totient is φ = 334430208.

The previous prime is 1485319663. The next prime is 1485319697. The reversal of 1485319680 is 869135841.

1485319680 is a `hidden beast` number, since 1 + 485 + 3 + 1 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1485319663) and next prime (1485319697).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51217906 + ... + 51217934.

It is an arithmetic number, because the mean of its divisors is an integer number (7798329).

Almost surely, 2^1485319680 is an apocalyptic number.

1485319680 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 1485319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119331600).

1485319680 is an abundant number, since it is smaller than the sum of its proper divisors (4753343520).

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

1485319680 is a wasteful number, since it uses less digits than its factorization.

1485319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1485319680 is about 38539.8453551646. The cubic root of 1485319680 is about 1140.9675995493.

The spelling of 1485319680 in words is "one billion, four hundred eighty-five million, three hundred nineteen thousand, six hundred eighty".