498841200 has 960 divisors, whose sum is σ = 2324851200. Its totient is φ = 99532800.

The previous prime is 498841171. The next prime is 498841207. The reversal of 498841200 is 2148894.

It is a super-4 number, since 4×498841200⁴ (a number of 36 digits) contains 4444 as substring.

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 (498841207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26254791 + ... + 26254809.

It is an arithmetic number, because the mean of its divisors is an integer number (2421720).

Almost surely, 2^498841200 is an apocalyptic number.

498841200 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 498841200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162425600).

498841200 is an abundant number, since it is smaller than the sum of its proper divisors (1826010000).

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

498841200 is a wasteful number, since it uses less digits than its factorization.

498841200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 498841200 is about 22334.7531886968. The cubic root of 498841200 is about 793.0868915736.

The spelling of 498841200 in words is "four hundred ninety-eight million, eight hundred forty-one thousand, two hundred".