485972784 has 180 divisors, whose sum is σ = 1551798248. Its totient is φ = 147121920.

The previous prime is 485972783. The next prime is 485972791. The reversal of 485972784 is 487279584.

It is a happy number.

485972784 is a `hidden beast` number, since 48 + 597 + 2 + 7 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 485972784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485972783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 469932 + ... + 470964.

Almost surely, 2^485972784 is an apocalyptic number.

485972784 is a gapful number since it is divisible by the number (44) 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 485972784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775899124).

485972784 is an abundant number, since it is smaller than the sum of its proper divisors (1065825464).

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

485972784 is a wasteful number, since it uses less digits than its factorization.

485972784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1049 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 485972784 is about 22044.7904049914. The cubic root of 485972784 is about 786.2077418369.

The spelling of 485972784 in words is "four hundred eighty-five million, nine hundred seventy-two thousand, seven hundred eighty-four".