483417934272 has 1008 divisors, whose sum is σ = 1843662108960. Its totient is φ = 123112120320.

The previous prime is 483417934267. The next prime is 483417934273. The reversal of 483417934272 is 272439714384.

483417934272 is a `hidden beast` number, since 48 + 3 + 4 + 179 + 3 + 427 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (8128512) is a multiple of the sum of its prime factors (567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483417934273) 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 143 ways as a sum of consecutive naturals, for example, 1057807068 + ... + 1057807524.

It is an arithmetic number, because the mean of its divisors is an integer number (1829029870).

Almost surely, 2^483417934272 is an apocalyptic number.

483417934272 is a gapful number since it is divisible by the number (42) 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 483417934272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921831054480).

483417934272 is an abundant number, since it is smaller than the sum of its proper divisors (1360244174688).

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

483417934272 is a wasteful number, since it uses less digits than its factorization.

483417934272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 513 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 483417934272 in words is "four hundred eighty-three billion, four hundred seventeen million, nine hundred thirty-four thousand, two hundred seventy-two".