492785424400 has 120 divisors (see below), whose sum is σ = 1194557257728. Its totient is φ = 195350400000.

The previous prime is 492785424349. The next prime is 492785424421. The reversal of 492785424400 is 4424587294.

It is a happy number.

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, 20692500 + ... + 20716300.

Almost surely, 2^492785424400 is an apocalyptic number.

492785424400 is a gapful number since it is divisible by the number (40) 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 492785424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597278628864).

492785424400 is an abundant number, since it is smaller than the sum of its proper divisors (701771833328).

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

492785424400 is a wasteful number, since it uses less digits than its factorization.

492785424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24281 (or 24270 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 492785424400 in words is "four hundred ninety-two billion, seven hundred eighty-five million, four hundred twenty-four thousand, four hundred".