491257008 has 160 divisors (see below), whose sum is σ = 1619539200. Its totient is φ = 141004800.

The previous prime is 491257003. The next prime is 491257037. The reversal of 491257008 is 800752194.

It is a super-2 number, since 2×491257008² = 482666895818224128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (491257001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87568 + ... + 93008.

It is an arithmetic number, because the mean of its divisors is an integer number (10122120).

Almost surely, 2^491257008 is an apocalyptic number.

491257008 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 491257008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809769600).

491257008 is an abundant number, since it is smaller than the sum of its proper divisors (1128282192).

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

491257008 is a wasteful number, since it uses less digits than its factorization.

491257008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 491257008 is about 22164.3183518014. The cubic root of 491257008 is about 789.0470847582.

The spelling of 491257008 in words is "four hundred ninety-one million, two hundred fifty-seven thousand, eight".