492513120 has 576 divisors, whose sum is σ = 2037934080. Its totient is φ = 106905600.

The previous prime is 492513113. The next prime is 492513149. The reversal of 492513120 is 21315294.

492513120 is a `hidden beast` number, since 492 + 51 + 3 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8347651 + ... + 8347709.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^492513120 is an apocalyptic number.

492513120 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 492513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018967040).

492513120 is an abundant number, since it is smaller than the sum of its proper divisors (1545420960).

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

492513120 is a wasteful number, since it uses less digits than its factorization.

492513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 492513120 is about 22192.6366166799. The cubic root of 492513120 is about 789.7190262883.

The spelling of 492513120 in words is "four hundred ninety-two million, five hundred thirteen thousand, one hundred twenty".