492304640 has 72 divisors (see below), whose sum is σ = 1188136320. Its totient is φ = 195434496.

The previous prime is 492304633. The next prime is 492304643. The reversal of 492304640 is 46403294.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 492304597 and 492304606.

It is not an unprimeable number, because it can be changed into a prime (492304643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176537 + ... + 179303.

Almost surely, 2^492304640 is an apocalyptic number.

492304640 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 492304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594068160).

492304640 is an abundant number, since it is smaller than the sum of its proper divisors (695831680).

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

492304640 is a wasteful number, since it uses less digits than its factorization.

492304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 492304640 is about 22187.9390660782. The cubic root of 492304640 is about 789.6075816370.

The spelling of 492304640 in words is "four hundred ninety-two million, three hundred four thousand, six hundred forty".