491742576 has 320 divisors, whose sum is σ = 1639895040. Its totient is φ = 141647616.

The previous prime is 491742557. The next prime is 491742593. The reversal of 491742576 is 675247194.

491742576 is a `hidden beast` number, since 4 + 9 + 1 + 74 + 2 + 576 = 666.

It is a super-2 number, since 2×491742576² = 483621522102231552, which contains 22 as substring.

Its product of digits (423360) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10462585 + ... + 10462631.

It is an arithmetic number, because the mean of its divisors is an integer number (5124672).

Almost surely, 2^491742576 is an apocalyptic number.

491742576 is a gapful number since it is divisible by the number (46) 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 491742576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819947520).

491742576 is an abundant number, since it is smaller than the sum of its proper divisors (1148152464).

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

491742576 is a wasteful number, since it uses less digits than its factorization.

491742576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 491742576 is about 22175.2694684867. The cubic root of 491742576 is about 789.3069689905.

The spelling of 491742576 in words is "four hundred ninety-one million, seven hundred forty-two thousand, five hundred seventy-six".