491988432 has 160 divisors (see below), whose sum is σ = 1526152320. Its totient is φ = 134922240.

The previous prime is 491988421. The next prime is 491988439. The reversal of 491988432 is 234889194.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491988439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200332 + ... + 202772.

It is an arithmetic number, because the mean of its divisors is an integer number (9538452).

Almost surely, 2^491988432 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 491988432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763076160).

491988432 is an abundant number, since it is smaller than the sum of its proper divisors (1034163888).

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

491988432 is a wasteful number, since it uses less digits than its factorization.

491988432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2495 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 491988432 is about 22180.8122484277. The cubic root of 491988432 is about 789.4384900559.

It can be divided in two parts, 49198 and 8432, that added together give a triangular number (57630 = T₃₃₉).

The spelling of 491988432 in words is "four hundred ninety-one million, nine hundred eighty-eight thousand, four hundred thirty-two".