48045984 has 192 divisors, whose sum is σ = 156764160. Its totient is φ = 12579840.

The previous prime is 48045971. The next prime is 48045989. The reversal of 48045984 is 48954084.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48045989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676669 + ... + 676739.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^48045984 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 48045984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

48045984 is an abundant number, since it is smaller than the sum of its proper divisors (108718176).

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

48045984 is a wasteful number, since it uses less digits than its factorization.

48045984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 48045984 is about 6931.5210451964. The cubic root of 48045984 is about 363.5401349616.

It can be divided in two parts, 480 and 45984, that added together give a palindrome (46464).

The spelling of 48045984 in words is "forty-eight million, forty-five thousand, nine hundred eighty-four".