45548880 has 120 divisors (see below), whose sum is σ = 153034848. Its totient is φ = 11202048.

The previous prime is 45548869. The next prime is 45548891. The reversal of 45548880 is 8884554.

It is an interprime number because it is at equal distance from previous prime (45548869) and next prime (45548891).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39999 + ... + 41121.

Almost surely, 2^45548880 is an apocalyptic number.

45548880 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 45548880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76517424).

45548880 is an abundant number, since it is smaller than the sum of its proper divisors (107485968).

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

45548880 is a wasteful number, since it uses less digits than its factorization.

45548880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 45548880 is about 6748.9910357030. The cubic root of 45548880 is about 357.1296440064.

The spelling of 45548880 in words is "forty-five million, five hundred forty-eight thousand, eight hundred eighty".