45267984 has 70 divisors (see below), whose sum is σ = 131533806. Its totient is φ = 15085440.

The previous prime is 45267953. The next prime is 45267997. The reversal of 45267984 is 48976254.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40602384 + 4665600 = 6372^2 + 2160^2 .

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 9724 + ... + 13604.

Almost surely, 2^45267984 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 45267984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65766903).

45267984 is an abundant number, since it is smaller than the sum of its proper divisors (86265822).

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

45267984 is an equidigital number, since it uses as much as digits as its factorization.

45267984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3886 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 45267984 is about 6728.1486309385. The cubic root of 45267984 is about 356.3940005112.

The spelling of 45267984 in words is "forty-five million, two hundred sixty-seven thousand, nine hundred eighty-four".