492213960 has 192 divisors, whose sum is σ = 1877990400. Its totient is φ = 109444608.

The previous prime is 492213949. The next prime is 492213983. The reversal of 492213960 is 69312294.

492213960 is a `hidden beast` number, since 49 + 221 + 396 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90601 + ... + 95879.

It is an arithmetic number, because the mean of its divisors is an integer number (9781200).

Almost surely, 2^492213960 is an apocalyptic number.

492213960 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 492213960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938995200).

492213960 is an abundant number, since it is smaller than the sum of its proper divisors (1385776440).

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

492213960 is a wasteful number, since it uses less digits than its factorization.

492213960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 492213960 is about 22185.8955194511. The cubic root of 492213960 is about 789.5590980990.

The spelling of 492213960 in words is "four hundred ninety-two million, two hundred thirteen thousand, nine hundred sixty".