492224040 has 320 divisors, whose sum is σ = 2063698560. Its totient is φ = 102228480.

The previous prime is 492223993. The next prime is 492224077. The reversal of 492224040 is 40422294.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 492223995 and 492224013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 248494 + ... + 250466.

It is an arithmetic number, because the mean of its divisors is an integer number (6449058).

Almost surely, 2^492224040 is an apocalyptic number.

492224040 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 492224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031849280).

492224040 is an abundant number, since it is smaller than the sum of its proper divisors (1571474520).

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

492224040 is a wasteful number, since it uses less digits than its factorization.

492224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 492224040 is about 22186.1226896454. The cubic root of 492224040 is about 789.5644878292.

The spelling of 492224040 in words is "four hundred ninety-two million, two hundred twenty-four thousand, forty".