41948400 has 120 divisors (see below), whose sum is σ = 144765040. Its totient is φ = 10321920.

The previous prime is 41948383. The next prime is 41948407. The reversal of 41948400 is 484914.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41948407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14256 + ... + 16944.

Almost surely, 2^41948400 is an apocalyptic number.

41948400 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 41948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72382520).

41948400 is an abundant number, since it is smaller than the sum of its proper divisors (102816640).

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

41948400 is a wasteful number, since it uses less digits than its factorization.

41948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 41948400 is about 6476.7584484833. The cubic root of 41948400 is about 347.4602545851.

The spelling of 41948400 in words is "forty-one million, nine hundred forty-eight thousand, four hundred".