498636000 has 432 divisors, whose sum is σ = 1934346960. Its totient is φ = 125971200.

The previous prime is 498635999. The next prime is 498636007. The reversal of 498636000 is 636894.

498636000 is a `hidden beast` number, since 49 + 8 + 6 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498636007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26243991 + ... + 26244009.

It is an arithmetic number, because the mean of its divisors is an integer number (4477655).

Almost surely, 2^498636000 is an apocalyptic number.

498636000 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 498636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967173480).

498636000 is an abundant number, since it is smaller than the sum of its proper divisors (1435710960).

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

498636000 is an frugal number, since it uses more digits than its factorization.

498636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 498636000 is about 22330.1589783862. The cubic root of 498636000 is about 792.9781303419.

The spelling of 498636000 in words is "four hundred ninety-eight million, six hundred thirty-six thousand".