45003920 has 80 divisors (see below), whose sum is σ = 114003120. Its totient is φ = 16422912.

The previous prime is 45003901. The next prime is 45003941. The reversal of 45003920 is 2930054.

It can be written as a sum of positive squares in 8 ways, for example, as 274576 + 44729344 = 524^2 + 6688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113162 + ... + 113558.

It is an arithmetic number, because the mean of its divisors is an integer number (1425039).

Almost surely, 2^45003920 is an apocalyptic number.

45003920 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 45003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57001560).

45003920 is an abundant number, since it is smaller than the sum of its proper divisors (68999200).

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

45003920 is a wasteful number, since it uses less digits than its factorization.

45003920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 45003920 is about 6708.4961056857. The cubic root of 45003920 is about 355.6996583134.

Adding to 45003920 its reverse (2930054), we get a palindrome (47933974).

It can be divided in two parts, 4500 and 3920, that multiplied together give a square (17640000 = 4200²).

The spelling of 45003920 in words is "forty-five million, three thousand, nine hundred twenty".