491965248 has 112 divisors (see below), whose sum is σ = 1334292480. Its totient is φ = 159936000.

The previous prime is 491965189. The next prime is 491965249. The reversal of 491965248 is 842569194.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 491965197 and 491965206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491965249) 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, 2058313 + ... + 2058551.

Almost surely, 2^491965248 is an apocalyptic number.

491965248 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 491965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667146240).

491965248 is an abundant number, since it is smaller than the sum of its proper divisors (842327232).

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

491965248 is a wasteful number, since it uses less digits than its factorization.

491965248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 491965248 is about 22180.2896284066. The cubic root of 491965248 is about 789.4260896089.

The spelling of 491965248 in words is "four hundred ninety-one million, nine hundred sixty-five thousand, two hundred forty-eight".