45581600 has 72 divisors (see below), whose sum is σ = 112211568. Its totient is φ = 18080000.

The previous prime is 45581593. The next prime is 45581623. The reversal of 45581600 is 618554.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 181475 + ... + 181725.

It is an arithmetic number, because the mean of its divisors is an integer number (1558494).

Almost surely, 2^45581600 is an apocalyptic number.

45581600 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 45581600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56105784).

45581600 is an abundant number, since it is smaller than the sum of its proper divisors (66629968).

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

45581600 is a wasteful number, since it uses less digits than its factorization.

45581600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 45581600 is about 6751.4146665717. The cubic root of 45581600 is about 357.2151381322.

The spelling of 45581600 in words is "forty-five million, five hundred eighty-one thousand, six hundred".