481734792 has 192 divisors, whose sum is σ = 1679708160. Its totient is φ = 121046400.

The previous prime is 481734791. The next prime is 481734809. The reversal of 481734792 is 297437184.

481734792 is a `hidden beast` number, since 4 + 8 + 173 + 479 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (481734791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170463 + ... + 173265.

It is an arithmetic number, because the mean of its divisors is an integer number (8748480).

Almost surely, 2^481734792 is an apocalyptic number.

481734792 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 481734792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839854080).

481734792 is an abundant number, since it is smaller than the sum of its proper divisors (1197973368).

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

481734792 is a wasteful number, since it uses less digits than its factorization.

481734792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2857 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 481734792 is about 21948.4576223479. The cubic root of 481734792 is about 783.9156554064.

The spelling of 481734792 in words is "four hundred eighty-one million, seven hundred thirty-four thousand, seven hundred ninety-two".