4045000 has 40 divisors (see below), whose sum is σ = 9489150. Its totient is φ = 1616000.

The previous prime is 4044983. The next prime is 4045009. The reversal of 4045000 is 5404.

It can be written as a sum of positive squares in 5 ways, for example, as 412164 + 3632836 = 642^2 + 1906^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4045009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4596 + ... + 5404.

Almost surely, 2^4045000 is an apocalyptic number.

4045000 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 4045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744575).

4045000 is an abundant number, since it is smaller than the sum of its proper divisors (5444150).

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

4045000 is an equidigital number, since it uses as much as digits as its factorization.

4045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 4045000 is about 2011.2185361119. The cubic root of 4045000 is about 159.3331621566. Note that the first 3 decimals are identical.

The spelling of 4045000 in words is "four million, forty-five thousand".