45219840 has 144 divisors (see below), whose sum is σ = 150994368. Its totient is φ = 11534336.

The previous prime is 45219827. The next prime is 45219851. The reversal of 45219840 is 4891254.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966069 + ... + 1966091.

It is an arithmetic number, because the mean of its divisors is an integer number (1048572).

Almost surely, 2^45219840 is an apocalyptic number.

45219840 is a gapful number since it is divisible by the number (40) 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 45219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75497184).

45219840 is an abundant number, since it is smaller than the sum of its proper divisors (105774528).

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

45219840 is an frugal number, since it uses more digits than its factorization.

45219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 45219840 is about 6724.5698747206. The cubic root of 45219840 is about 356.2676100867.

The spelling of 45219840 in words is "forty-five million, two hundred nineteen thousand, eight hundred forty".