45834720 has 192 divisors, whose sum is σ = 157743936. Its totient is φ = 11141120.

The previous prime is 45834671. The next prime is 45834727. The reversal of 45834720 is 2743854.

45834720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45834727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 334492 + ... + 334628.

It is an arithmetic number, because the mean of its divisors is an integer number (821583).

Almost surely, 2^45834720 is an apocalyptic number.

45834720 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 45834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78871968).

45834720 is an abundant number, since it is smaller than the sum of its proper divisors (111909216).

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

45834720 is a wasteful number, since it uses less digits than its factorization.

45834720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 45834720 is about 6770.1344152092. The cubic root of 45834720 is about 357.8751372136.

The spelling of 45834720 in words is "forty-five million, eight hundred thirty-four thousand, seven hundred twenty".