45604900 has 54 divisors (see below), whose sum is σ = 108805970. Its totient is φ = 16579200.

The previous prime is 45604843. The next prime is 45604901. The reversal of 45604900 is 940654.

It can be written as a sum of positive squares in 3 ways, for example, as 7929856 + 37675044 = 2816^2 + 6138^2 .

It is not an unprimeable number, because it can be changed into a prime (45604901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10216 + ... + 13984.

Almost surely, 2^45604900 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 45604900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54402985).

45604900 is an abundant number, since it is smaller than the sum of its proper divisors (63201070).

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

45604900 is a wasteful number, since it uses less digits than its factorization.

45604900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 45604900 is about 6753.1400103952. The cubic root of 45604900 is about 357.2759937914.

The spelling of 45604900 in words is "forty-five million, six hundred four thousand, nine hundred".