498360960 has 192 divisors, whose sum is σ = 1777052160. Its totient is φ = 128563200.

The previous prime is 498360931. The next prime is 498360979. The reversal of 498360960 is 69063894.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177165 + ... + 179955.

It is an arithmetic number, because the mean of its divisors is an integer number (9255480).

Almost surely, 2^498360960 is an apocalyptic number.

498360960 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 498360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888526080).

498360960 is an abundant number, since it is smaller than the sum of its proper divisors (1278691200).

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

498360960 is a wasteful number, since it uses less digits than its factorization.

498360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 498360960 is about 22323.9996416413. Note that the first 3 decimals coincide. The cubic root of 498360960 is about 792.8323053195.

The spelling of 498360960 in words is "four hundred ninety-eight million, three hundred sixty thousand, nine hundred sixty".