492968448 has 480 divisors, whose sum is σ = 1838453760. Its totient is φ = 123863040.

The previous prime is 492968429. The next prime is 492968449. The reversal of 492968448 is 844869294.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3981312) is a multiple of the sum of its prime factors (108).

It is a junction number, because it is equal to n+sod(n) for n = 492968394 and 492968403.

It is not an unprimeable number, because it can be changed into a prime (492968449) 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, 15902193 + ... + 15902223.

It is an arithmetic number, because the mean of its divisors is an integer number (3830112).

Almost surely, 2^492968448 is an apocalyptic number.

492968448 is a gapful number since it is divisible by the number (48) 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 492968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919226880).

492968448 is an abundant number, since it is smaller than the sum of its proper divisors (1345485312).

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

492968448 is a wasteful number, since it uses less digits than its factorization.

492968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 492968448 is about 22202.8927845000. The cubic root of 492968448 is about 789.9623162071.

The spelling of 492968448 in words is "four hundred ninety-two million, nine hundred sixty-eight thousand, four hundred forty-eight".