45123920 has 20 divisors (see below), whose sum is σ = 104913300. Its totient is φ = 18049536.

The previous prime is 45123893. The next prime is 45123961. The reversal of 45123920 is 2932154.

It can be written as a sum of positive squares in 2 ways, for example, as 12588304 + 32535616 = 3548^2 + 5704^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 45123920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281945 + ... + 282104.

It is an arithmetic number, because the mean of its divisors is an integer number (5245665).

Almost surely, 2^45123920 is an apocalyptic number.

45123920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45123920 is an abundant number, since it is smaller than the sum of its proper divisors (59789380).

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

45123920 is a wasteful number, since it uses less digits than its factorization.

45123920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564062 (or 564056 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 45123920 is about 6717.4340339150. The cubic root of 45123920 is about 356.0155276651.

The spelling of 45123920 in words is "forty-five million, one hundred twenty-three thousand, nine hundred twenty".