45480320 has 64 divisors (see below), whose sum is σ = 109609200. Its totient is φ = 18044928.

The previous prime is 45480299. The next prime is 45480341. The reversal of 45480320 is 2308454.

45480320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45480299) and next prime (45480341).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 45480320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114362 + ... + 114758.

Almost surely, 2^45480320 is an apocalyptic number.

45480320 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 45480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54804600).

45480320 is an abundant number, since it is smaller than the sum of its proper divisors (64128880).

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

45480320 is a wasteful number, since it uses less digits than its factorization.

45480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 45480320 is about 6743.9098451862. The cubic root of 45480320 is about 356.9503706376.

Adding to 45480320 its reverse (2308454), we get a palindrome (47788774).

The spelling of 45480320 in words is "forty-five million, four hundred eighty thousand, three hundred twenty".