463749048 has 48 divisors (see below), whose sum is σ = 1435415280. Its totient is φ = 132499584.

The previous prime is 463749037. The next prime is 463749049. The reversal of 463749048 is 840947364.

463749048 is a `hidden beast` number, since 4 + 637 + 4 + 9 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 463748994 and 463749012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463749049) 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 11 ways as a sum of consecutive naturals, for example, 459565 + ... + 460572.

It is an arithmetic number, because the mean of its divisors is an integer number (29904485).

Almost surely, 2^463749048 is an apocalyptic number.

It is an amenable number.

463749048 is an abundant number, since it is smaller than the sum of its proper divisors (971666232).

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

463749048 is a wasteful number, since it uses less digits than its factorization.

463749048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920156 (or 920149 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 463749048 is about 21534.8333636460. The cubic root of 463749048 is about 774.0357333822.

The spelling of 463749048 in words is "four hundred sixty-three million, seven hundred forty-nine thousand, forty-eight".