45807600 has 120 divisors (see below), whose sum is σ = 149454720. Its totient is φ = 11989760.

The previous prime is 45807581. The next prime is 45807607. The reversal of 45807600 is 670854.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (45807607) 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 23 ways as a sum of consecutive naturals, for example, 70477 + ... + 71123.

It is an arithmetic number, because the mean of its divisors is an integer number (1245456).

Almost surely, 2^45807600 is an apocalyptic number.

45807600 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 45807600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74727360).

45807600 is an abundant number, since it is smaller than the sum of its proper divisors (103647120).

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

45807600 is a wasteful number, since it uses less digits than its factorization.

45807600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 45807600 is about 6768.1312044020. The cubic root of 45807600 is about 357.8045394325.

The spelling of 45807600 in words is "forty-five million, eight hundred seven thousand, six hundred".