492560640 has 648 divisors, whose sum is σ = 2100676032. Its totient is φ = 105431040.

The previous prime is 492560599. The next prime is 492560671. The reversal of 492560640 is 46065294.

492560640 is a `hidden beast` number, since 4 + 9 + 2 + 5 + 6 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 492560595 and 492560604.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 21415669 + ... + 21415691.

It is an arithmetic number, because the mean of its divisors is an integer number (3241784).

Almost surely, 2^492560640 is an apocalyptic number.

492560640 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 492560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050338016).

492560640 is an abundant number, since it is smaller than the sum of its proper divisors (1608115392).

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

492560640 is a wasteful number, since it uses less digits than its factorization.

492560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 492560640 is about 22193.7072162359. The cubic root of 492560640 is about 789.7444240830.

The spelling of 492560640 in words is "four hundred ninety-two million, five hundred sixty thousand, six hundred forty".