491979852 has 192 divisors, whose sum is σ = 1587317760. Its totient is φ = 128314368.

The previous prime is 491979841. The next prime is 491979853. The reversal of 491979852 is 258979194.

491979852 is a `hidden beast` number, since 491 + 9 + 79 + 85 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (491979853) 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, 1110343 + ... + 1110785.

It is an arithmetic number, because the mean of its divisors is an integer number (8267280).

Almost surely, 2^491979852 is an apocalyptic number.

491979852 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 491979852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793658880).

491979852 is an abundant number, since it is smaller than the sum of its proper divisors (1095337908).

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

491979852 is a wasteful number, since it uses less digits than its factorization.

491979852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 491979852 is about 22180.6188371740. The cubic root of 491979852 is about 789.4339009090.

It can be divided in two parts, 49197 and 9852, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 491979852 in words is "four hundred ninety-one million, nine hundred seventy-nine thousand, eight hundred fifty-two".