492089955840 has 1200 divisors, whose sum is σ = 2159023086000. Its totient is φ = 106516021248.

The previous prime is 492089955839. The next prime is 492089955871. The reversal of 492089955840 is 48559980294.

492089955840 is a `hidden beast` number, since 49 + 2 + 0 + 8 + 9 + 9 + 5 + 584 + 0 = 666.

It is a super-2 number, since 2×492089955840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 193050886 + ... + 193053434.

It is an arithmetic number, because the mean of its divisors is an integer number (1799185905).

Almost surely, 2^492089955840 is an apocalyptic number.

492089955840 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 492089955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079511543000).

492089955840 is an abundant number, since it is smaller than the sum of its proper divisors (1666933130160).

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

492089955840 is a wasteful number, since it uses less digits than its factorization.

492089955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 492089955840 in words is "four hundred ninety-two billion, eighty-nine million, nine hundred fifty-five thousand, eight hundred forty".