46723968 has 48 divisors (see below), whose sum is σ = 134456400. Its totient is φ = 15574272.

The previous prime is 46723967. The next prime is 46723979. The reversal of 46723968 is 86932764.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46723967) 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 5 ways as a sum of consecutive naturals, for example, 19128 + ... + 21431.

It is an arithmetic number, because the mean of its divisors is an integer number (2801175).

Almost surely, 2^46723968 is an apocalyptic number.

46723968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46723968 is an abundant number, since it is smaller than the sum of its proper divisors (87732432).

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

46723968 is a wasteful number, since it uses less digits than its factorization.

46723968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40579 (or 40564 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 46723968 is about 6835.4932521362. The cubic root of 46723968 is about 360.1747299940.

The spelling of 46723968 in words is "forty-six million, seven hundred twenty-three thousand, nine hundred sixty-eight".