463938048 has 240 divisors, whose sum is σ = 1612902720. Its totient is φ = 125411328.

The previous prime is 463938023. The next prime is 463938103. The reversal of 463938048 is 840839364.

463938048 is a `hidden beast` number, since 4 + 639 + 3 + 8 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 463937994 and 463938012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612486 + ... + 613242.

It is an arithmetic number, because the mean of its divisors is an integer number (6720428).

Almost surely, 2^463938048 is an apocalyptic number.

463938048 is a gapful number since it is divisible by the number (48) 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 463938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806451360).

463938048 is an abundant number, since it is smaller than the sum of its proper divisors (1148964672).

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

463938048 is a wasteful number, since it uses less digits than its factorization.

463938048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 463938048 is about 21539.2211558357. The cubic root of 463938048 is about 774.1408713406.

The spelling of 463938048 in words is "four hundred sixty-three million, nine hundred thirty-eight thousand, forty-eight".