491555952 has 280 divisors, whose sum is σ = 1575966096. Its totient is φ = 147806208.

The previous prime is 491555903. The next prime is 491555959. The reversal of 491555952 is 259555194.

491555952 is a `hidden beast` number, since 4 + 9 + 1 + 55 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 491555898 and 491555907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491555959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7336623 + ... + 7336689.

Almost surely, 2^491555952 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 491555952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787983048).

491555952 is an abundant number, since it is smaller than the sum of its proper divisors (1084410144).

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

491555952 is a wasteful number, since it uses less digits than its factorization.

491555952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its digits is 405000, while the sum is 45.

The square root of 491555952 is about 22171.0611383398. The cubic root of 491555952 is about 789.2071049088.

The spelling of 491555952 in words is "four hundred ninety-one million, five hundred fifty-five thousand, nine hundred fifty-two".