1485313200 has 720 divisors, whose sum is σ = 6380424960. Its totient is φ = 324725760.

The previous prime is 1485313183. The next prime is 1485313211. The reversal of 1485313200 is 23135841.

It is a happy number.

1485313200 is a `hidden beast` number, since 148 + 5 + 313 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25174771 + ... + 25174829.

Almost surely, 2^1485313200 is an apocalyptic number.

1485313200 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 1485313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190212480).

1485313200 is an abundant number, since it is smaller than the sum of its proper divisors (4895111760).

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

1485313200 is a wasteful number, since it uses less digits than its factorization.

1485313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1485313200 is about 38539.7612862353. The cubic root of 1485313200 is about 1140.9659403149.

The spelling of 1485313200 in words is "one billion, four hundred eighty-five million, three hundred thirteen thousand, two hundred".