45721984 has 64 divisors (see below), whose sum is σ = 113587200. Its totient is φ = 17809920.

The previous prime is 45721981. The next prime is 45722003. The reversal of 45721984 is 48912754.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45721981) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7537 + ... + 12175.

It is an arithmetic number, because the mean of its divisors is an integer number (1774800).

Almost surely, 2^45721984 is an apocalyptic number.

45721984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45721984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56793600).

45721984 is an abundant number, since it is smaller than the sum of its proper divisors (67865216).

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

45721984 is a wasteful number, since it uses less digits than its factorization.

45721984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4659 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 45721984 is about 6761.8033097688. The cubic root of 45721984 is about 357.5814840261.

It can be divided in two parts, 4572 and 1984, that added together give a palindrome (6556).

The spelling of 45721984 in words is "forty-five million, seven hundred twenty-one thousand, nine hundred eighty-four".