498225600 has 336 divisors, whose sum is σ = 1914956800. Its totient is φ = 125660160.

The previous prime is 498225577. The next prime is 498225617. The reversal of 498225600 is 6522894.

It is a happy number.

498225600 is a `hidden beast` number, since 4 + 98 + 2 + 2 + 560 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 820497 + ... + 821103.

Almost surely, 2^498225600 is an apocalyptic number.

498225600 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 498225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957478400).

498225600 is an abundant number, since it is smaller than the sum of its proper divisors (1416731200).

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

498225600 is a wasteful number, since it uses less digits than its factorization.

498225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 498225600 is about 22320.9677209569. The cubic root of 498225600 is about 792.7605183304.

The spelling of 498225600 in words is "four hundred ninety-eight million, two hundred twenty-five thousand, six hundred".