492913980 has 144 divisors (see below), whose sum is σ = 1705040064. Its totient is φ = 114186240.

The previous prime is 492913969. The next prime is 492913987. The reversal of 492913980 is 89319294.

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 (492913987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33585 + ... + 45975.

It is an arithmetic number, because the mean of its divisors is an integer number (11840556).

Almost surely, 2^492913980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492913980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852520032).

492913980 is an abundant number, since it is smaller than the sum of its proper divisors (1212126084).

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

492913980 is a wasteful number, since it uses less digits than its factorization.

492913980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12436 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 492913980 is about 22201.6661536922. Note that the first 3 decimals coincide. The cubic root of 492913980 is about 789.9332208681.

The spelling of 492913980 in words is "four hundred ninety-two million, nine hundred thirteen thousand, nine hundred eighty".