498112272 has 120 divisors (see below), whose sum is σ = 1605242496. Its totient is φ = 141239808.

The previous prime is 498112271. The next prime is 498112283. The reversal of 498112272 is 272211894.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (498112271) 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 23 ways as a sum of consecutive naturals, for example, 136293 + ... + 139899.

Almost surely, 2^498112272 is an apocalyptic number.

498112272 is a gapful number since it is divisible by the number (42) 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 498112272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802621248).

498112272 is an abundant number, since it is smaller than the sum of its proper divisors (1107130224).

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

498112272 is a wasteful number, since it uses less digits than its factorization.

498112272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3756 counting only the distinct ones).

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

The square root of 498112272 is about 22318.4289769688. The cubic root of 498112272 is about 792.7004058185.

The spelling of 498112272 in words is "four hundred ninety-eight million, one hundred twelve thousand, two hundred seventy-two".