40804400 has 240 divisors, whose sum is σ = 129158400. Its totient is φ = 12026880.

The previous prime is 40804399. The next prime is 40804409. The reversal of 40804400 is 440804.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40804409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691571 + ... + 691629.

It is an arithmetic number, because the mean of its divisors is an integer number (538160).

Almost surely, 2^40804400 is an apocalyptic number.

40804400 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 40804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64579200).

40804400 is an abundant number, since it is smaller than the sum of its proper divisors (88354000).

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

40804400 is a wasteful number, since it uses less digits than its factorization.

40804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 40804400 is about 6387.8321831432. The cubic root of 40804400 is about 344.2724990644.

It can be divided in two parts, 40804 and 400, that multiplied together give a square (16321600 = 4040²).

The spelling of 40804400 in words is "forty million, eight hundred four thousand, four hundred".