84463848 has 144 divisors (see below), whose sum is σ = 270094500. Its totient is φ = 23772672.

The previous prime is 84463807. The next prime is 84463849. The reversal of 84463848 is 84836448.

84463848 is a `hidden beast` number, since 8 + 4 + 4 + 638 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69856164 + 14607684 = 8358^2 + 3822^2 .

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

Its product of digits (589824) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (84463849) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 313858 + ... + 314126.

Almost surely, 2^84463848 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 84463848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135047250).

84463848 is an abundant number, since it is smaller than the sum of its proper divisors (185630652).

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

84463848 is a wasteful number, since it uses less digits than its factorization.

84463848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 84463848 is about 9190.4215354901. The cubic root of 84463848 is about 438.7565582091.

The spelling of 84463848 in words is "eighty-four million, four hundred sixty-three thousand, eight hundred forty-eight".