41730000 has 200 divisors, whose sum is σ = 146428128. Its totient is φ = 10176000.

The previous prime is 41729977. The next prime is 41730047. The reversal of 41730000 is 3714.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389947 + ... + 390053.

Almost surely, 2^41730000 is an apocalyptic number.

41730000 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 41730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73214064).

41730000 is an abundant number, since it is smaller than the sum of its proper divisors (104698128).

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

41730000 is a wasteful number, since it uses less digits than its factorization.

41730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 41730000 is about 6459.8761598037. The cubic root of 41730000 is about 346.8561997765.

Adding to 41730000 its reverse (3714), we get a palindrome (41733714).

The spelling of 41730000 in words is "forty-one million, seven hundred thirty thousand".