491511456 has 192 divisors, whose sum is σ = 1532160000. Its totient is φ = 152845056.

The previous prime is 491511439. The next prime is 491511469. The reversal of 491511456 is 654115194.

491511456 is a `hidden beast` number, since 4 + 91 + 511 + 4 + 56 = 666.

It is a super-2 number, since 2×491511456² = 483167022758479872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 491511456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1296675 + ... + 1297053.

It is an arithmetic number, because the mean of its divisors is an integer number (7980000).

Almost surely, 2^491511456 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 491511456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080000).

491511456 is an abundant number, since it is smaller than the sum of its proper divisors (1040648544).

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

491511456 is a wasteful number, since it uses less digits than its factorization.

491511456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 491511456 is about 22170.0576453919. The cubic root of 491511456 is about 789.1832909910.

The spelling of 491511456 in words is "four hundred ninety-one million, five hundred eleven thousand, four hundred fifty-six".