492464448 has 280 divisors, whose sum is σ = 1714219584. Its totient is φ = 136857600.

The previous prime is 492464437. The next prime is 492464459. The reversal of 492464448 is 844464294.

It is an interprime number because it is at equal distance from previous prime (492464437) and next prime (492464459).

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

Its product of digits (884736) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1487643 + ... + 1487973.

Almost surely, 2^492464448 is an apocalyptic number.

492464448 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 492464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857109792).

492464448 is an abundant number, since it is smaller than the sum of its proper divisors (1221755136).

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

492464448 is a wasteful number, since it uses less digits than its factorization.

492464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 384 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 492464448 is about 22191.5400096523. The cubic root of 492464448 is about 789.6930110960.

The spelling of 492464448 in words is "four hundred ninety-two million, four hundred sixty-four thousand, four hundred forty-eight".