41952800 has 54 divisors (see below), whose sum is σ = 102866463. Its totient is φ = 16707840.

The previous prime is 41952797. The next prime is 41952803. The reversal of 41952800 is 825914.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (41952797) and next prime (41952803).

It can be written as a sum of positive squares in 5 ways, for example, as 35378704 + 6574096 = 5948^2 + 2564^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4580.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41952803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 183086 + ... + 183314.

Almost surely, 2^41952800 is an apocalyptic number.

41952800 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 41952800

41952800 is an abundant number, since it is smaller than the sum of its proper divisors (60913663).

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

41952800 is an equidigital number, since it uses as much as digits as its factorization.

41952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 41952800 is about 6477.0981156688. The cubic root of 41952800 is about 347.4724026183.

The spelling of 41952800 in words is "forty-one million, nine hundred fifty-two thousand, eight hundred".