41731600 has 135 divisors (see below), whose sum is σ = 112405287. Its totient is φ = 14883840.

The previous prime is 41731589. The next prime is 41731601. The reversal of 41731600 is 613714.

The square root of 41731600 is 6460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 976144 + 40755456 = 988^2 + 6384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41731601) 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 26 ways as a sum of consecutive naturals, for example, 2196391 + ... + 2196409.

Almost surely, 2^41731600 is an apocalyptic number.

41731600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41731600 is the 6460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41731600

41731600 is an abundant number, since it is smaller than the sum of its proper divisors (70673687).

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

41731600 is a wasteful number, since it uses less digits than its factorization.

41731600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The cubic root of 41731600 is about 346.8606327410.

The spelling of 41731600 in words is "forty-one million, seven hundred thirty-one thousand, six hundred".