491028480 has 320 divisors, whose sum is σ = 1807979580. Its totient is φ = 127401984.

The previous prime is 491028463. The next prime is 491028491. The reversal of 491028480 is 84820194.

It can be written as a sum of positive squares in 2 ways, for example, as 479084544 + 11943936 = 21888^2 + 3456^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×491028480² = 482217936342220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13271022 + ... + 13271058.

Almost surely, 2^491028480 is an apocalyptic number.

491028480 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 491028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903989790).

491028480 is an abundant number, since it is smaller than the sum of its proper divisors (1316951100).

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

491028480 is an frugal number, since it uses more digits than its factorization.

491028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 491028480 is about 22159.1624390454. The cubic root of 491028480 is about 788.9247134282.

The spelling of 491028480 in words is "four hundred ninety-one million, twenty-eight thousand, four hundred eighty".