45048384 has 84 divisors (see below), whose sum is σ = 130105404. Its totient is φ = 14902272.

The previous prime is 45048379. The next prime is 45048401. The reversal of 45048384 is 48384054.

It can be written as a sum of positive squares in 2 ways, for example, as 38937600 + 6110784 = 6240^2 + 2472^2 .

It is a super-2 number, since 2×45048384² = 4058713802022912, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113274 + ... + 113670.

Almost surely, 2^45048384 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 45048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65052702).

45048384 is an abundant number, since it is smaller than the sum of its proper divisors (85057020).

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

45048384 is a wasteful number, since it uses less digits than its factorization.

45048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 45048384 is about 6711.8092940726. The cubic root of 45048384 is about 355.8167638438.

The spelling of 45048384 in words is "forty-five million, forty-eight thousand, three hundred eighty-four".