45302120 has 32 divisors (see below), whose sum is σ = 102465000. Its totient is φ = 18025728.

The previous prime is 45302119. The next prime is 45302123. The reversal of 45302120 is 2120354.

It can be written as a sum of positive squares in 4 ways, for example, as 36024004 + 9278116 = 6002^2 + 3046^2 .

It is not an unprimeable number, because it can be changed into a prime (45302123) 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, 5006 + ... + 10754.

Almost surely, 2^45302120 is an apocalyptic number.

45302120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45302120 is an abundant number, since it is smaller than the sum of its proper divisors (57162880).

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

45302120 is a wasteful number, since it uses less digits than its factorization.

45302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 45302120 is about 6730.6849577142. The cubic root of 45302120 is about 356.4835620347.

Adding to 45302120 its reverse (2120354), we get a palindrome (47422474).

The spelling of 45302120 in words is "forty-five million, three hundred two thousand, one hundred twenty".