492015040 has 168 divisors, whose sum is σ = 1311011856. Its totient is φ = 175718400.

The previous prime is 492015031. The next prime is 492015049. The reversal of 492015040 is 40510294.

It is an interprime number because it is at equal distance from previous prime (492015031) and next prime (492015049).

It is a junction number, because it is equal to n+sod(n) for n = 492014996 and 492015014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492015049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3755775 + ... + 3755905.

It is an arithmetic number, because the mean of its divisors is an integer number (7803642).

Almost surely, 2^492015040 is an apocalyptic number.

492015040 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 492015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655505928).

492015040 is an abundant number, since it is smaller than the sum of its proper divisors (818996816).

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

492015040 is a wasteful number, since it uses less digits than its factorization.

492015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 492015040 is about 22181.4120380106. The cubic root of 492015040 is about 789.4527214208.

The spelling of 492015040 in words is "four hundred ninety-two million, fifteen thousand, forty".