492978320 has 80 divisors (see below), whose sum is σ = 1207101312. Its totient is φ = 186869760.

The previous prime is 492978289. The next prime is 492978329. The reversal of 492978320 is 23879294.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (492978329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206735 + ... + 209105.

Almost surely, 2^492978320 is an apocalyptic number.

492978320 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 492978320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603550656).

492978320 is an abundant number, since it is smaller than the sum of its proper divisors (714122992).

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

492978320 is a wasteful number, since it uses less digits than its factorization.

492978320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 492978320 is about 22203.1150967606. The cubic root of 492978320 is about 789.9675893342.

The spelling of 492978320 in words is "four hundred ninety-two million, nine hundred seventy-eight thousand, three hundred twenty".