498792000 has 224 divisors, whose sum is σ = 1882932480. Its totient is φ = 113971200.

The previous prime is 498791987. The next prime is 498792011. The reversal of 498792000 is 297894.

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 498792000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166516 + ... + 169484.

Almost surely, 2^498792000 is an apocalyptic number.

498792000 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 498792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941466240).

498792000 is an abundant number, since it is smaller than the sum of its proper divisors (1384140480).

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

498792000 is a wasteful number, since it uses less digits than its factorization.

498792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 498792000 is about 22333.6517390238. The cubic root of 498792000 is about 793.0608170380.

The spelling of 498792000 in words is "four hundred ninety-eight million, seven hundred ninety-two thousand".