1485057200 has 180 divisors, whose sum is σ = 3993900624. Its totient is φ = 530112000.

The previous prime is 1485057179. The next prime is 1485057241. The reversal of 1485057200 is 27505841.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2952149 + ... + 2952651.

Almost surely, 2^1485057200 is an apocalyptic number.

1485057200 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 1485057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996950312).

1485057200 is an abundant number, since it is smaller than the sum of its proper divisors (2508843424).

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

1485057200 is a wasteful number, since it uses less digits than its factorization.

1485057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 1485057200 is about 38536.4398978421. The cubic root of 1485057200 is about 1140.9003864498.

The spelling of 1485057200 in words is "one billion, four hundred eighty-five million, fifty-seven thousand, two hundred".