492853680 has 160 divisors (see below), whose sum is σ = 1852024320. Its totient is φ = 119473920.

The previous prime is 492853667. The next prime is 492853687. The reversal of 492853680 is 86358294.

492853680 is a `hidden beast` number, since 4 + 9 + 285 + 368 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492853687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13389 + ... + 34131.

It is an arithmetic number, because the mean of its divisors is an integer number (11575152).

Almost surely, 2^492853680 is an apocalyptic number.

492853680 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 492853680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926012160).

492853680 is an abundant number, since it is smaller than the sum of its proper divisors (1359170640).

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

492853680 is a wasteful number, since it uses less digits than its factorization.

492853680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20776 (or 20764 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 492853680 is about 22200.3081059701. The cubic root of 492853680 is about 789.9010077318.

The spelling of 492853680 in words is "four hundred ninety-two million, eight hundred fifty-three thousand, six hundred eighty".