48966624 has 144 divisors (see below), whose sum is σ = 161336448. Its totient is φ = 13798656.

The previous prime is 48966623. The next prime is 48966653. The reversal of 48966624 is 42666984.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 48966624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48966623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215599 + ... + 215825.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 2^48966624 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 48966624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224).

48966624 is an abundant number, since it is smaller than the sum of its proper divisors (112369824).

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

48966624 is a wasteful number, since it uses less digits than its factorization.

48966624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

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

The square root of 48966624 is about 6997.6155939005. The cubic root of 48966624 is about 365.8474684663.

The spelling of 48966624 in words is "forty-eight million, nine hundred sixty-six thousand, six hundred twenty-four".