45556500 has 144 divisors (see below), whose sum is σ = 146397888. Its totient is φ = 11000000.

The previous prime is 45556499. The next prime is 45556501. The reversal of 45556500 is 565554.

It is an interprime number because it is at equal distance from previous prime (45556499) and next prime (45556501).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45556501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181375 + ... + 181625.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652).

Almost surely, 2^45556500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45556500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198944).

45556500 is an abundant number, since it is smaller than the sum of its proper divisors (100841388).

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

45556500 is a wasteful number, since it uses less digits than its factorization.

45556500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 45556500 is about 6749.5555409227. Note that the first 4 decimals coincide. The cubic root of 45556500 is about 357.1495579695.

It can be divided in two parts, 45556 and 500, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 45556500 in words is "forty-five million, five hundred fifty-six thousand, five hundred".