492249240 has 192 divisors, whose sum is σ = 1838491200. Its totient is φ = 111891456.

The previous prime is 492249223. The next prime is 492249253. The reversal of 492249240 is 42942294.

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

It is a junction number, because it is equal to n+sod(n) for n = 492249195 and 492249204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576654 + ... + 577506.

It is an arithmetic number, because the mean of its divisors is an integer number (9575475).

Almost surely, 2^492249240 is an apocalyptic number.

492249240 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 492249240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919245600).

492249240 is an abundant number, since it is smaller than the sum of its proper divisors (1346241960).

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

492249240 is a wasteful number, since it uses less digits than its factorization.

492249240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 492249240 is about 22186.6906049550. The cubic root of 492249240 is about 789.5779618329.

The spelling of 492249240 in words is "four hundred ninety-two million, two hundred forty-nine thousand, two hundred forty".