491292648 has 256 divisors, whose sum is σ = 1723392000. Its totient is φ = 125971200.

The previous prime is 491292647. The next prime is 491292649. The reversal of 491292648 is 846292194.

It is an interprime number because it is at equal distance from previous prime (491292647) and next prime (491292649).

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 (491292643) 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, 1812753 + ... + 1813023.

It is an arithmetic number, because the mean of its divisors is an integer number (6732000).

Almost surely, 2^491292648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491292648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861696000).

491292648 is an abundant number, since it is smaller than the sum of its proper divisors (1232099352).

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

491292648 is a wasteful number, since it uses less digits than its factorization.

491292648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 491292648 is about 22165.1223321686. The cubic root of 491292648 is about 789.0661657129.

The spelling of 491292648 in words is "four hundred ninety-one million, two hundred ninety-two thousand, six hundred forty-eight".