492582408192 has 624 divisors, whose sum is σ = 1797776406720. Its totient is φ = 132434362368.

The previous prime is 492582408181. The next prime is 492582408217. The reversal of 492582408192 is 291804285294.

492582408192 is a `hidden beast` number, since 4 + 9 + 2 + 582 + 40 + 8 + 19 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92120463 + ... + 92125809.

Almost surely, 2^492582408192 is an apocalyptic number.

492582408192 is a gapful number since it is divisible by the number (42) 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 492582408192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898888203360).

492582408192 is an abundant number, since it is smaller than the sum of its proper divisors (1305193998528).

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

492582408192 is a wasteful number, since it uses less digits than its factorization.

492582408192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5411 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 492582408192 in words is "four hundred ninety-two billion, five hundred eighty-two million, four hundred eight thousand, one hundred ninety-two".