41952500 has 60 divisors (see below), whose sum is σ = 93223284. Its totient is φ = 16512000.

The previous prime is 41952467. The next prime is 41952503. The reversal of 41952500 is 525914.

It can be written as a sum of positive squares in 10 ways, for example, as 23872996 + 18079504 = 4886^2 + 4252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41952500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41952503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 242414 + ... + 242586.

Almost surely, 2^41952500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41952500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46611642).

41952500 is an abundant number, since it is smaller than the sum of its proper divisors (51270784).

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

41952500 is a wasteful number, since it uses less digits than its factorization.

41952500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 41952500 is about 6477.0749571083. The cubic root of 41952500 is about 347.4715743703.

The spelling of 41952500 in words is "forty-one million, nine hundred fifty-two thousand, five hundred".