491149120 has 224 divisors, whose sum is σ = 1507516416. Its totient is φ = 147916800.

The previous prime is 491149073. The next prime is 491149123. The reversal of 491149120 is 21941194.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491149123) 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 31 ways as a sum of consecutive naturals, for example, 763519 + ... + 764161.

It is an arithmetic number, because the mean of its divisors is an integer number (6729984).

Almost surely, 2^491149120 is an apocalyptic number.

491149120 is a gapful number since it is divisible by the number (40) 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 491149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753758208).

491149120 is an abundant number, since it is smaller than the sum of its proper divisors (1016367296).

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

491149120 is a wasteful number, since it uses less digits than its factorization.

491149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 491149120 is about 22161.8843964136. The cubic root of 491149120 is about 788.9893180203.

The spelling of 491149120 in words is "four hundred ninety-one million, one hundred forty-nine thousand, one hundred twenty".