498843648 has 180 divisors, whose sum is σ = 1533495600. Its totient is φ = 155713536.

The previous prime is 498843647. The next prime is 498843701. The reversal of 498843648 is 846348894.

498843648 is a `hidden beast` number, since 498 + 84 + 36 + 48 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 498843594 and 498843603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498843647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2506653 + ... + 2506851.

It is an arithmetic number, because the mean of its divisors is an integer number (8519420).

Almost surely, 2^498843648 is an apocalyptic number.

498843648 is a gapful number since it is divisible by the number (48) 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 498843648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766747800).

498843648 is an abundant number, since it is smaller than the sum of its proper divisors (1034651952).

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

498843648 is a wasteful number, since it uses less digits than its factorization.

498843648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 498843648 is about 22334.8079911156. The cubic root of 498843648 is about 793.0881888960.

The spelling of 498843648 in words is "four hundred ninety-eight million, eight hundred forty-three thousand, six hundred forty-eight".