45561900 has 72 divisors (see below), whose sum is σ = 136397520. Its totient is φ = 11728640.

The previous prime is 45561899. The next prime is 45561913. The reversal of 45561900 is 916554.

45561900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45561900² = 4151773463220000, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6082 + ... + 11318.

It is an arithmetic number, because the mean of its divisors is an integer number (1894410).

Almost surely, 2^45561900 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 45561900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68198760).

45561900 is an abundant number, since it is smaller than the sum of its proper divisors (90835620).

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

45561900 is a wasteful number, since it uses less digits than its factorization.

45561900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 45561900 is about 6749.9555554092. The cubic root of 45561900 is about 357.1636688825.

The spelling of 45561900 in words is "forty-five million, five hundred sixty-one thousand, nine hundred".