492933672 has 288 divisors, whose sum is σ = 1717934400. Its totient is φ = 124945920.

The previous prime is 492933671. The next prime is 492933689. The reversal of 492933672 is 276339294.

492933672 is a `hidden beast` number, since 492 + 93 + 3 + 6 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492933671) 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, 3597988 + ... + 3598124.

It is an arithmetic number, because the mean of its divisors is an integer number (5965050).

Almost surely, 2^492933672 is an apocalyptic number.

492933672 is a gapful number since it is divisible by the number (42) 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 492933672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858967200).

492933672 is an abundant number, since it is smaller than the sum of its proper divisors (1225000728).

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

492933672 is a wasteful number, since it uses less digits than its factorization.

492933672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 492933672 is about 22202.1096294924. The cubic root of 492933672 is about 789.9437400516.

The spelling of 492933672 in words is "four hundred ninety-two million, nine hundred thirty-three thousand, six hundred seventy-two".