492083020800 has 396 divisors, whose sum is σ = 2013595187136. Its totient is φ = 112475750400.

The previous prime is 492083020757. The next prime is 492083020837. The reversal of 492083020800 is 8020380294.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1460245 + ... + 1765355.

Almost surely, 2^492083020800 is an apocalyptic number.

492083020800 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 492083020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006797593568).

492083020800 is an abundant number, since it is smaller than the sum of its proper divisors (1521512166336).

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

492083020800 is a wasteful number, since it uses less digits than its factorization.

492083020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305154 (or 305128 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 492083020800 in words is "four hundred ninety-two billion, eighty-three million, twenty thousand, eight hundred".