46810848 has 96 divisors (see below), whose sum is σ = 143942400. Its totient is φ = 13040640.

The previous prime is 46810847. The next prime is 46810861. The reversal of 46810848 is 84801864.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46810847) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26703 + ... + 28401.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 2^46810848 is an apocalyptic number.

46810848 is a gapful number since it is divisible by the number (48) 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 46810848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71971200).

46810848 is an abundant number, since it is smaller than the sum of its proper divisors (97131552).

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

46810848 is a wasteful number, since it uses less digits than its factorization.

46810848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 46810848 is about 6841.8453651044. The cubic root of 46810848 is about 360.3978318037.

The spelling of 46810848 in words is "forty-six million, eight hundred ten thousand, eight hundred forty-eight".