40848800 has 36 divisors (see below), whose sum is σ = 99724086. Its totient is φ = 16339200.

The previous prime is 40848779. The next prime is 40848809. The reversal of 40848800 is 884804.

40848800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 17073424 + 23775376 = 4132^2 + 4876^2 .

It is a super-2 number, since 2×40848800² = 3337248922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40848809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24731 + ... + 26330.

Almost surely, 2^40848800 is an apocalyptic number.

40848800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40848800 is an abundant number, since it is smaller than the sum of its proper divisors (58875286).

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

40848800 is a wasteful number, since it uses less digits than its factorization.

40848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51081 (or 51068 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 40848800 is about 6391.3065956814. The cubic root of 40848800 is about 344.3973234958.

The spelling of 40848800 in words is "forty million, eight hundred forty-eight thousand, eight hundred".