498700800 has 600 divisors, whose sum is σ = 2041429236. Its totient is φ = 119439360.

The previous prime is 498700781. The next prime is 498700801. The reversal of 498700800 is 8007894.

It can be written as a sum of positive squares in 6 ways, for example, as 195105024 + 303595776 = 13968^2 + 17424^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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 (498700801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13478382 + ... + 13478418.

Almost surely, 2^498700800 is an apocalyptic number.

498700800 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 498700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020714618).

498700800 is an abundant number, since it is smaller than the sum of its proper divisors (1542728436).

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

498700800 is a wasteful number, since it uses less digits than its factorization.

498700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 498700800 is about 22331.6098837500. The cubic root of 498700800 is about 793.0124792171.

It can be divided in two parts, 498700 and 800, that added together give a triangular number (499500 = T₉₉₉).

The spelling of 498700800 in words is "four hundred ninety-eight million, seven hundred thousand, eight hundred".