48900384 has 144 divisors (see below), whose sum is σ = 154240632. Its totient is φ = 14598144.

The previous prime is 48900373. The next prime is 48900389. The reversal of 48900384 is 48300984.

It can be written as a sum of positive squares in 4 ways, for example, as 41216400 + 7683984 = 6420^2 + 2772^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48900389) 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, 138352 + ... + 138704.

Almost surely, 2^48900384 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 48900384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77120316).

48900384 is an abundant number, since it is smaller than the sum of its proper divisors (105340248).

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

48900384 is a wasteful number, since it uses less digits than its factorization.

48900384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48900384 is about 6992.8809513676. The cubic root of 48900384 is about 365.6824263076.

It can be divided in two parts, 48900 and 384, that added together give a square (49284 = 222²).

The spelling of 48900384 in words is "forty-eight million, nine hundred thousand, three hundred eighty-four".