498124800 has 432 divisors, whose sum is σ = 1901128320. Its totient is φ = 124354560.

The previous prime is 498124799. The next prime is 498124807. The reversal of 498124800 is 8421894.

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

It is not an unprimeable number, because it can be changed into a prime (498124807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10598377 + ... + 10598423.

It is an arithmetic number, because the mean of its divisors is an integer number (4400760).

Almost surely, 2^498124800 is an apocalyptic number.

498124800 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 498124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950564160).

498124800 is an abundant number, since it is smaller than the sum of its proper divisors (1403003520).

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

498124800 is a wasteful number, since it uses less digits than its factorization.

498124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

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

The square root of 498124800 is about 22318.7096401203. The cubic root of 498124800 is about 792.7070514873.

The spelling of 498124800 in words is "four hundred ninety-eight million, one hundred twenty-four thousand, eight hundred".