492250890040 has 288 divisors, whose sum is σ = 1382599579680. Its totient is φ = 154441257984.

The previous prime is 492250890023. The next prime is 492250890049. The reversal of 492250890040 is 40098052294.

It is a happy number.

It is a super-3 number, since 3×492250890040³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492250890049) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1319707294 + ... + 1319707666.

It is an arithmetic number, because the mean of its divisors is an integer number (4800692985).

Almost surely, 2^492250890040 is an apocalyptic number.

492250890040 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 492250890040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691299789840).

492250890040 is an abundant number, since it is smaller than the sum of its proper divisors (890348689640).

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

492250890040 is a wasteful number, since it uses less digits than its factorization.

492250890040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 492250890040 in words is "four hundred ninety-two billion, two hundred fifty million, eight hundred ninety thousand, forty".