43040400 has 240 divisors, whose sum is σ = 154990080. Its totient is φ = 10137600.

The previous prime is 43040359. The next prime is 43040401. The reversal of 43040400 is 404034.

It is a tau number, because it is divible by the number of its divisors (240).

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 43040400.

It is not an unprimeable number, because it can be changed into a prime (43040401) 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 47 ways as a sum of consecutive naturals, for example, 483556 + ... + 483644.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 2^43040400 is an apocalyptic number.

43040400 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 43040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

43040400 is an abundant number, since it is smaller than the sum of its proper divisors (111949680).

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

43040400 is a wasteful number, since it uses less digits than its factorization.

43040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 43040400 is about 6560.5182722099. The cubic root of 43040400 is about 350.4494905180.

Adding to 43040400 its reverse (404034), we get a palindrome (43444434).

The spelling of 43040400 in words is "forty-three million, forty thousand, four hundred".