498735006 has 128 divisors (see below), whose sum is σ = 1300561920. Its totient is φ = 123724800.

The previous prime is 498734983. The next prime is 498735007. The reversal of 498735006 is 600537894.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498735007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1389055 + ... + 1389413.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2^498735006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498735006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650280960).

498735006 is an abundant number, since it is smaller than the sum of its proper divisors (801826914).

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

498735006 is a wasteful number, since it uses less digits than its factorization.

498735006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510.

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 498735006 is about 22332.3757356892. The cubic root of 498735006 is about 793.0306097706.

It can be divided in two parts, 4987 and 35006, that added together give a palindrome (39993).

The spelling of 498735006 in words is "four hundred ninety-eight million, seven hundred thirty-five thousand, six".