45546480 has 180 divisors, whose sum is σ = 178071192. Its totient is φ = 10402560.

The previous prime is 45546461. The next prime is 45546481. The reversal of 45546480 is 8464554.

45546480 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45546481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34635 + ... + 35925.

Almost surely, 2^45546480 is an apocalyptic number.

45546480 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 45546480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89035596).

45546480 is an abundant number, since it is smaller than the sum of its proper divisors (132524712).

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

45546480 is a wasteful number, since it uses less digits than its factorization.

45546480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 45546480 is about 6748.8132290055. The cubic root of 45546480 is about 357.1233714321.

The spelling of 45546480 in words is "forty-five million, five hundred forty-six thousand, four hundred eighty".