491393952 has 360 divisors, whose sum is σ = 1736305956. Its totient is φ = 135862272.

The previous prime is 491393923. The next prime is 491393957. The reversal of 491393952 is 259393194.

It can be written as a sum of positive squares in 2 ways, for example, as 480661776 + 10732176 = 21924^2 + 3276^2 .

Its product of digits (262440) is a multiple of the sum of its prime factors (162).

It is a junction number, because it is equal to n+sod(n) for n = 491393898 and 491393907.

It is not an unprimeable number, because it can be changed into a prime (491393957) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6731388 + ... + 6731460.

Almost surely, 2^491393952 is an apocalyptic number.

491393952 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 491393952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868152978).

491393952 is an abundant number, since it is smaller than the sum of its proper divisors (1244912004).

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

491393952 is a wasteful number, since it uses less digits than its factorization.

491393952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 491393952 is about 22167.4074262192. The cubic root of 491393952 is about 789.1203968421.

The spelling of 491393952 in words is "four hundred ninety-one million, three hundred ninety-three thousand, nine hundred fifty-two".