45231984 has 120 divisors (see below), whose sum is σ = 151037952. Its totient is φ = 12355200.

The previous prime is 45231919. The next prime is 45231997. The reversal of 45231984 is 48913254.

45231984 = 448² + 449² + ... + 608².

45231984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22209 + ... + 24159.

Almost surely, 2^45231984 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 45231984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75518976).

45231984 is an abundant number, since it is smaller than the sum of its proper divisors (105805968).

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

45231984 is a wasteful number, since it uses less digits than its factorization.

45231984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1986 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 45231984 is about 6725.4727714860. The cubic root of 45231984 is about 356.2994996777.

The spelling of 45231984 in words is "forty-five million, two hundred thirty-one thousand, nine hundred eighty-four".