40504200 has 288 divisors, whose sum is σ = 153070560. Its totient is φ = 8755200.

The previous prime is 40504171. The next prime is 40504201. The reversal of 40504200 is 240504.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40504200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40504201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2131791 + ... + 2131809.

It is an arithmetic number, because the mean of its divisors is an integer number (531495).

Almost surely, 2^40504200 is an apocalyptic number.

40504200 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 40504200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76535280).

40504200 is an abundant number, since it is smaller than the sum of its proper divisors (112566360).

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

40504200 is a wasteful number, since it uses less digits than its factorization.

40504200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 40504200 is about 6364.2910052888. The cubic root of 40504200 is about 343.4261434663.

Adding to 40504200 its reverse (240504), we get a palindrome (40744704).

It can be divided in two parts, 40504 and 200, that added together give a palindrome (40704).

The spelling of 40504200 in words is "forty million, five hundred four thousand, two hundred".