463083048 has 128 divisors (see below), whose sum is σ = 1380240000. Its totient is φ = 143410176.

The previous prime is 463083031. The next prime is 463083097. The reversal of 463083048 is 840380364.

463083048 is a `hidden beast` number, since 46 + 308 + 304 + 8 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216448 + ... + 218576.

It is an arithmetic number, because the mean of its divisors is an integer number (10783125).

Almost surely, 2^463083048 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 463083048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690120000).

463083048 is an abundant number, since it is smaller than the sum of its proper divisors (917156952).

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

463083048 is a wasteful number, since it uses less digits than its factorization.

463083048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 463083048 is about 21519.3644887576. The cubic root of 463083048 is about 773.6650193973.

It can be divided in two parts, 4630 and 83048, that added together give a palindrome (87678).

The spelling of 463083048 in words is "four hundred sixty-three million, eighty-three thousand, forty-eight".