1485358560 has 360 divisors, whose sum is σ = 6100534440. Its totient is φ = 339365376.

The previous prime is 1485358559. The next prime is 1485358579. The reversal of 1485358560 is 658535841.

1485358560 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 3 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 633871 + ... + 636209.

It is an arithmetic number, because the mean of its divisors is an integer number (16945929).

Almost surely, 2^1485358560 is an apocalyptic number.

1485358560 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 1485358560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050267220).

1485358560 is an abundant number, since it is smaller than the sum of its proper divisors (4615175880).

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

1485358560 is a wasteful number, since it uses less digits than its factorization.

1485358560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 1485358560 is about 38540.3497648893. The cubic root of 1485358560 is about 1140.9775548547.

The spelling of 1485358560 in words is "one billion, four hundred eighty-five million, three hundred fifty-eight thousand, five hundred sixty".