40883200 has 66 divisors (see below), whose sum is σ = 101404286. Its totient is φ = 16343040.

The previous prime is 40883189. The next prime is 40883201. The reversal of 40883200 is 238804.

40883200 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 40551424 = 576^2 + 6368^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40883201) 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 5 ways as a sum of consecutive naturals, for example, 24802 + ... + 26398.

Almost surely, 2^40883200 is an apocalyptic number.

40883200 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 40883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50702143).

40883200 is an abundant number, since it is smaller than the sum of its proper divisors (60521086).

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

40883200 is a wasteful number, since it uses less digits than its factorization.

40883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 40883200 is about 6393.9971848602. The cubic root of 40883200 is about 344.4939721435.

The spelling of 40883200 in words is "forty million, eight hundred eighty-three thousand, two hundred".