1485428800 has 84 divisors (see below), whose sum is σ = 3663693460. Its totient is φ = 592773120.

The previous prime is 1485428743. The next prime is 1485428801. The reversal of 1485428800 is 88245841.

It can be written as a sum of positive squares in 6 ways, for example, as 375739456 + 1109689344 = 19384^2 + 33312^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1485428801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 922396 + ... + 924004.

Almost surely, 2^1485428800 is an apocalyptic number.

1485428800 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 1485428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831846730).

1485428800 is an abundant number, since it is smaller than the sum of its proper divisors (2178264660).

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

1485428800 is a wasteful number, since it uses less digits than its factorization.

1485428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 1485428800 is about 38541.2610068742. The cubic root of 1485428800 is about 1140.9955395134.

The spelling of 1485428800 in words is "one billion, four hundred eighty-five million, four hundred twenty-eight thousand, eight hundred".