40504500 has 72 divisors (see below), whose sum is σ = 127792392. Its totient is φ = 10800000.

The previous prime is 40504423. The next prime is 40504517. The reversal of 40504500 is 540504.

It is a happy number.

40504500 is a nontrivial binomial coefficient, being equal to C(9001, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 5788836 + 34715664 = 2406^2 + 5892^2 .

It is a super-2 number, since 2×40504500² = 3281229040500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1 + ... + 9000.

Almost surely, 2^40504500 is an apocalyptic number.

40504500 is the 9000-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40504500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63896196).

40504500 is an abundant number, since it is smaller than the sum of its proper divisors (87287892).

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

40504500 is a wasteful number, since it uses less digits than its factorization.

40504500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9026 (or 9011 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 40504500 is about 6364.3145742491. The cubic root of 40504500 is about 343.4269913421.

The spelling of 40504500 in words is "forty million, five hundred four thousand, five hundred".