40848000 has 256 divisors, whose sum is σ = 145117440. Its totient is φ = 10137600.

The previous prime is 40847981. The next prime is 40848019. The reversal of 40848000 is 84804.

It is an interprime number because it is at equal distance from previous prime (40847981) and next prime (40848019).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103982 + ... + 1104018.

It is an arithmetic number, because the mean of its divisors is an integer number (566865).

Almost surely, 2^40848000 is an apocalyptic number.

40848000 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 40848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72558720).

40848000 is an abundant number, since it is smaller than the sum of its proper divisors (104269440).

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

40848000 is a wasteful number, since it uses less digits than its factorization.

40848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40848000 is about 6391.2440103629. The cubic root of 40848000 is about 344.3950752074.

The spelling of 40848000 in words is "forty million, eight hundred forty-eight thousand".