1485829800 has 576 divisors, whose sum is σ = 6304596480. Its totient is φ = 305233920.

The previous prime is 1485829789. The next prime is 1485829837. The reversal of 1485829800 is 89285841.

It is a happy number.

1485829800 is a `hidden beast` number, since 1 + 485 + 82 + 98 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7698504 + ... + 7698696.

It is an arithmetic number, because the mean of its divisors is an integer number (10945480).

Almost surely, 2^1485829800 is an apocalyptic number.

1485829800 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 1485829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152298240).

1485829800 is an abundant number, since it is smaller than the sum of its proper divisors (4818766680).

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

1485829800 is a wasteful number, since it uses less digits than its factorization.

1485829800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1485829800 is about 38546.4628727462. The cubic root of 1485829800 is about 1141.0982030329.

The spelling of 1485829800 in words is "one billion, four hundred eighty-five million, eight hundred twenty-nine thousand, eight hundred".