40846800 has 60 divisors (see below), whose sum is σ = 130849760. Its totient is φ = 10892160.

The previous prime is 40846777. The next prime is 40846811. The reversal of 40846800 is 864804.

40846800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×40846800² = 3336922140480000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15820 + ... + 18219.

Almost surely, 2^40846800 is an apocalyptic number.

40846800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40846800 is an abundant number, since it is smaller than the sum of its proper divisors (90002960).

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

40846800 is a wasteful number, since it uses less digits than its factorization.

40846800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34060 (or 34049 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 40846800 is about 6391.1501312362. The cubic root of 40846800 is about 344.3917027196.

The spelling of 40846800 in words is "forty million, eight hundred forty-six thousand, eight hundred".