491451948 has 288 divisors, whose sum is σ = 1541030400. Its totient is φ = 135489024.

The previous prime is 491451937. The next prime is 491451979. The reversal of 491451948 is 849154194.

It is a happy number.

491451948 is a `hidden beast` number, since 4 + 91 + 4 + 519 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5521888 + ... + 5521976.

It is an arithmetic number, because the mean of its divisors is an integer number (5350800).

Almost surely, 2^491451948 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 491451948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770515200).

491451948 is an abundant number, since it is smaller than the sum of its proper divisors (1049578452).

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

491451948 is a wasteful number, since it uses less digits than its factorization.

491451948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 491451948 is about 22168.7155243600. The cubic root of 491451948 is about 789.1514405197.

The spelling of 491451948 in words is "four hundred ninety-one million, four hundred fifty-one thousand, nine hundred forty-eight".