498782720 has 160 divisors (see below), whose sum is σ = 1291778928. Its totient is φ = 184025088.

The previous prime is 498782719. The next prime is 498782729. The reversal of 498782720 is 27287894.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 251412736 + 247369984 = 15856^2 + 15728^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (498782729) 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 15 ways as a sum of consecutive naturals, for example, 3176882 + ... + 3177038.

Almost surely, 2^498782720 is an apocalyptic number.

498782720 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 498782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645889464).

498782720 is an abundant number, since it is smaller than the sum of its proper divisors (792996208).

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

498782720 is a wasteful number, since it uses less digits than its factorization.

498782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The square root of 498782720 is about 22333.4439798254. The cubic root of 498782720 is about 793.0558987220.

The spelling of 498782720 in words is "four hundred ninety-eight million, seven hundred eighty-two thousand, seven hundred twenty".