491292432 has 80 divisors (see below), whose sum is σ = 1419046080. Its totient is φ = 162736128.

The previous prime is 491292427. The next prime is 491292479. The reversal of 491292432 is 234292194.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66928 + ... + 73904.

It is an arithmetic number, because the mean of its divisors is an integer number (17738076).

Almost surely, 2^491292432 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 491292432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709523040).

491292432 is an abundant number, since it is smaller than the sum of its proper divisors (927753648).

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

491292432 is a wasteful number, since it uses less digits than its factorization.

491292432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7145 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 491292432 is about 22165.1174596482. The cubic root of 491292432 is about 789.0660500735.

It can be divided in two parts, 4912 and 92432, that added together give a square (97344 = 312²).

The spelling of 491292432 in words is "four hundred ninety-one million, two hundred ninety-two thousand, four hundred thirty-two".