492780960 has 576 divisors, whose sum is σ = 2113413120. Its totient is φ = 102021120.

The previous prime is 492780923. The next prime is 492780961. The reversal of 492780960 is 69087294.

It is a happy number.

492780960 is a `hidden beast` number, since 492 + 78 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (492780961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5937079 + ... + 5937161.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^492780960 is an apocalyptic number.

492780960 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 492780960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056706560).

492780960 is an abundant number, since it is smaller than the sum of its proper divisors (1620632160).

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

492780960 is a wasteful number, since it uses less digits than its factorization.

492780960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 492780960 is about 22198.6702304440. The cubic root of 492780960 is about 789.8621561558.

The spelling of 492780960 in words is "four hundred ninety-two million, seven hundred eighty thousand, nine hundred sixty".