45590600 has 192 divisors, whose sum is σ = 130170240. Its totient is φ = 14643200.

The previous prime is 45590593. The next prime is 45590603. The reversal of 45590600 is 609554.

It is not an unprimeable number, because it can be changed into a prime (45590603) 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, 860174 + ... + 860226.

It is an arithmetic number, because the mean of its divisors is an integer number (677970).

Almost surely, 2^45590600 is an apocalyptic number.

45590600 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 45590600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65085120).

45590600 is an abundant number, since it is smaller than the sum of its proper divisors (84579640).

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

45590600 is a wasteful number, since it uses less digits than its factorization.

45590600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 45590600 is about 6752.0811606497. The cubic root of 45590600 is about 357.2386470676.

The spelling of 45590600 in words is "forty-five million, five hundred ninety thousand, six hundred".