45834210 has 96 divisors (see below), whose sum is σ = 130656240. Its totient is φ = 11096064.

The previous prime is 45834197. The next prime is 45834211. The reversal of 45834210 is 1243854.

It can be written as a sum of positive squares in 8 ways, for example, as 38975049 + 6859161 = 6243^2 + 2619^2 .

It is not an unprimeable number, because it can be changed into a prime (45834211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43854 + ... + 44886.

Almost surely, 2^45834210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45834210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65328120).

45834210 is an abundant number, since it is smaller than the sum of its proper divisors (84822030).

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

45834210 is a wasteful number, since it uses less digits than its factorization.

45834210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45834210 is about 6770.0967496780. The cubic root of 45834210 is about 357.8738098574.

The spelling of 45834210 in words is "forty-five million, eight hundred thirty-four thousand, two hundred ten".