48444864 has 84 divisors (see below), whose sum is σ = 138888216. Its totient is φ = 14896128.

The previous prime is 48444839. The next prime is 48444871. The reversal of 48444864 is 46844484.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31702 + ... + 33194.

Almost surely, 2^48444864 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 48444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69444108).

48444864 is an abundant number, since it is smaller than the sum of its proper divisors (90443352).

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

48444864 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (48444863) it forms an eRAP, since the sums of their prime factors are consecutive (1533 and 1534).

48444864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1511 counting only the distinct ones).

The product of its digits is 393216, while the sum is 42.

The square root of 48444864 is about 6960.2344788089. The cubic root of 48444864 is about 364.5434060468.

The spelling of 48444864 in words is "forty-eight million, four hundred forty-four thousand, eight hundred sixty-four".