45549920 has 96 divisors (see below), whose sum is σ = 118117440. Its totient is φ = 16496640.

The previous prime is 45549853. The next prime is 45549971. The reversal of 45549920 is 2994554.

45549920 = T₃₉ + T₄₀ + ... + T₆₄₈.

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 15 ways as a sum of consecutive naturals, for example, 126701 + ... + 127059.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 2^45549920 is an apocalyptic number.

45549920 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 45549920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59058720).

45549920 is an abundant number, since it is smaller than the sum of its proper divisors (72567520).

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

45549920 is a wasteful number, since it uses less digits than its factorization.

45549920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 45549920 is about 6749.0680838172. The cubic root of 45549920 is about 357.1323620535.

The spelling of 45549920 in words is "forty-five million, five hundred forty-nine thousand, nine hundred twenty".