4040900 has 36 divisors (see below), whose sum is σ = 9288468. Its totient is φ = 1520640.

The previous prime is 4040891. The next prime is 4040903. The reversal of 4040900 is 90404.

4040900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8836 + 4032064 = 94^2 + 2008^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (4040903) by changing a digit.

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, 512 + ... + 2888.

It is an arithmetic number, because the mean of its divisors is an integer number (258013).

Almost surely, 2^4040900 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 4040900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644234).

4040900 is an abundant number, since it is smaller than the sum of its proper divisors (5247568).

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

4040900 is a wasteful number, since it uses less digits than its factorization.

4040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4040900 is about 2010.1989951246. The cubic root of 4040900 is about 159.2793107511.

The spelling of 4040900 in words is "four million, forty thousand, nine hundred".