45335120 has 40 divisors (see below), whose sum is σ = 109044360. Its totient is φ = 17507840.

The previous prime is 45335099. The next prime is 45335123. The reversal of 45335120 is 2153354.

It can be written as a sum of positive squares in 4 ways, for example, as 1827904 + 43507216 = 1352^2 + 6596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45335123) 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, 7451 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (2726109).

Almost surely, 2^45335120 is an apocalyptic number.

45335120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45335120 is an abundant number, since it is smaller than the sum of its proper divisors (63709240).

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

45335120 is a wasteful number, since it uses less digits than its factorization.

45335120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19583 (or 19577 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 45335120 is about 6733.1359707049. The cubic root of 45335120 is about 356.5701003118.

Adding to 45335120 its reverse (2153354), we get a palindrome (47488474).

The spelling of 45335120 in words is "forty-five million, three hundred thirty-five thousand, one hundred twenty".