46033792 has 64 divisors (see below), whose sum is σ = 106243200. Its totient is φ = 19459584.

The previous prime is 46033777. The next prime is 46033811. The reversal of 46033792 is 29733064.

46033792 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 (64).

It is a super-2 number, since 2×46033792² = 4238220011798528, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 74059 + ... + 74677.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^46033792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46033792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600).

46033792 is an abundant number, since it is smaller than the sum of its proper divisors (60209408).

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

46033792 is an equidigital number, since it uses as much as digits as its factorization.

46033792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 46033792 is about 6784.8207050739. The cubic root of 46033792 is about 358.3925035634.

The spelling of 46033792 in words is "forty-six million, thirty-three thousand, seven hundred ninety-two".