45546000 has 80 divisors (see below), whose sum is σ = 146859648. Its totient is φ = 12144000.

The previous prime is 45545999. The next prime is 45546019. The reversal of 45546000 is 64554.

45546000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

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 15 ways as a sum of consecutive naturals, for example, 2205 + ... + 9795.

Almost surely, 2^45546000 is an apocalyptic number.

45546000 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 45546000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73429824).

45546000 is an abundant number, since it is smaller than the sum of its proper divisors (101313648).

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

45546000 is a wasteful number, since it uses less digits than its factorization.

45546000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 45546000 is about 6748.7776671039. Note that the first 3 decimals coincide. The cubic root of 45546000 is about 357.1221168908.

The spelling of 45546000 in words is "forty-five million, five hundred forty-six thousand".