492852096 has 384 divisors, whose sum is σ = 1718496000. Its totient is φ = 133816320.

The previous prime is 492852037. The next prime is 492852121. The reversal of 492852096 is 690258294.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5537620 + ... + 5537708.

It is an arithmetic number, because the mean of its divisors is an integer number (4475250).

Almost surely, 2^492852096 is an apocalyptic number.

492852096 is a gapful number since it is divisible by the number (46) 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 492852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859248000).

492852096 is an abundant number, since it is smaller than the sum of its proper divisors (1225643904).

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

492852096 is a wasteful number, since it uses less digits than its factorization.

492852096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 492852096 is about 22200.2724307608. The cubic root of 492852096 is about 789.9001615006.

The spelling of 492852096 in words is "four hundred ninety-two million, eight hundred fifty-two thousand, ninety-six".