498720768 has 224 divisors, whose sum is σ = 1644066816. Its totient is φ = 130940928.

The previous prime is 498720749. The next prime is 498720773. The reversal of 498720768 is 867027894.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 498720768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2236305 + ... + 2236527.

It is an arithmetic number, because the mean of its divisors is an integer number (7339584).

Almost surely, 2^498720768 is an apocalyptic number.

498720768 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 498720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822033408).

498720768 is an abundant number, since it is smaller than the sum of its proper divisors (1145346048).

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

498720768 is a wasteful number, since it uses less digits than its factorization.

498720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 498720768 is about 22332.0569585518. The cubic root of 498720768 is about 793.0230631596.

The spelling of 498720768 in words is "four hundred ninety-eight million, seven hundred twenty thousand, seven hundred sixty-eight".