285435446010 has 128 divisors (see below), whose sum is σ = 805293570816. Its totient is φ = 63835146240.

The previous prime is 285435445993. The next prime is 285435446011. The reversal of 285435446010 is 10644534582.

It is not an unprimeable number, because it can be changed into a prime (285435446011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7415374 + ... + 7453766.

It is an arithmetic number, because the mean of its divisors is an integer number (6291356022).

Almost surely, 2^285435446010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285435446010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402646785408).

285435446010 is an abundant number, since it is smaller than the sum of its proper divisors (519858124806).

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

285435446010 is a wasteful number, since it uses less digits than its factorization.

285435446010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40160.

The product of its (nonzero) digits is 460800, while the sum is 42.

It can be divided in two parts, 285435 and 446010, that added together give a triangular number (731445 = T₁₂₀₉).

The spelling of 285435446010 in words is "two hundred eighty-five billion, four hundred thirty-five million, four hundred forty-six thousand, ten".