285525472400 has 120 divisors (see below), whose sum is σ = 784324532160. Its totient is φ = 97850350080.

The previous prime is 285525472373. The next prime is 285525472447. The reversal of 285525472400 is 4274525582.

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 23 ways as a sum of consecutive naturals, for example, 6527402 + ... + 6570998.

It is an arithmetic number, because the mean of its divisors is an integer number (6536037768).

Almost surely, 2^285525472400 is an apocalyptic number.

285525472400 is a gapful number since it is divisible by the number (20) 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 285525472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392162266080).

285525472400 is an abundant number, since it is smaller than the sum of its proper divisors (498799059760).

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

285525472400 is a wasteful number, since it uses less digits than its factorization.

285525472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45961 (or 45950 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 44.

Adding to 285525472400 its reverse (4274525582), we get a palindrome (289799997982).

The spelling of 285525472400 in words is "two hundred eighty-five billion, five hundred twenty-five million, four hundred seventy-two thousand, four hundred".