498247200 has 432 divisors, whose sum is σ = 1996184736. Its totient is φ = 120268800.

The previous prime is 498247181. The next prime is 498247201. The reversal of 498247200 is 2742894.

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 (498247201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2138284 + ... + 2138516.

It is an arithmetic number, because the mean of its divisors is an integer number (4620798).

Almost surely, 2^498247200 is an apocalyptic number.

498247200 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 498247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998092368).

498247200 is an abundant number, since it is smaller than the sum of its proper divisors (1497937536).

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

498247200 is a wasteful number, since it uses less digits than its factorization.

498247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 498247200 is about 22321.4515657024. The cubic root of 498247200 is about 792.7719745728.

The spelling of 498247200 in words is "four hundred ninety-eight million, two hundred forty-seven thousand, two hundred".