498348000 has 288 divisors, whose sum is σ = 1798917120. Its totient is φ = 130636800.

The previous prime is 498347999. The next prime is 498348007. The reversal of 498348000 is 843894.

It is a tau number, because it is divible by the number of its divisors (288).

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 (498348007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3923937 + ... + 3924063.

It is an arithmetic number, because the mean of its divisors is an integer number (6246240).

Almost surely, 2^498348000 is an apocalyptic number.

498348000 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 498348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899458560).

498348000 is an abundant number, since it is smaller than the sum of its proper divisors (1300569120).

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

498348000 is a wasteful number, since it uses less digits than its factorization.

498348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 498348000 is about 22323.7093691886. The cubic root of 498348000 is about 792.8254326599.

The spelling of 498348000 in words is "four hundred ninety-eight million, three hundred forty-eight thousand".