45330960 has 80 divisors (see below), whose sum is σ = 147936960. Its totient is φ = 11450880.

The previous prime is 45330949. The next prime is 45330977. The reversal of 45330960 is 6903354.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 411 + ... + 9530.

It is an arithmetic number, because the mean of its divisors is an integer number (1849212).

Almost surely, 2^45330960 is an apocalyptic number.

45330960 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 45330960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73968480).

45330960 is an abundant number, since it is smaller than the sum of its proper divisors (102606000).

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

45330960 is a wasteful number, since it uses less digits than its factorization.

45330960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9976 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 45330960 is about 6732.8270436719. The cubic root of 45330960 is about 356.5591935579.

It can be divided in two parts, 453 and 30960, that added together give a palindrome (31413).

The spelling of 45330960 in words is "forty-five million, three hundred thirty thousand, nine hundred sixty".