41461000 has 64 divisors (see below), whose sum is σ = 110897280. Its totient is φ = 14212800.

The previous prime is 41460997. The next prime is 41461027. The reversal of 41461000 is 16414.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4039 + ... + 9961.

It is an arithmetic number, because the mean of its divisors is an integer number (1732770).

Almost surely, 2^41461000 is an apocalyptic number.

41461000 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 41461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55448640).

41461000 is an abundant number, since it is smaller than the sum of its proper divisors (69436280).

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

41461000 is a wasteful number, since it uses less digits than its factorization.

41461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 41461000 is about 6439.0216648183. The cubic root of 41461000 is about 346.1092908782.

Adding to 41461000 its reverse (16414), we get a palindrome (41477414).

It can be divided in two parts, 41 and 461000, that added together give a square (461041 = 679²).

The spelling of 41461000 in words is "forty-one million, four hundred sixty-one thousand".