45852846 has 64 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 13242240.

The previous prime is 45852827. The next prime is 45852881. The reversal of 45852846 is 64825854.

It is a junction number, because it is equal to n+sod(n) for n = 45852798 and 45852807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109225 + ... + 109643.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^45852846 is an apocalyptic number.

45852846 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45852846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

45852846 is an abundant number, since it is smaller than the sum of its proper divisors (59140434).

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

45852846 is a wasteful number, since it uses less digits than its factorization.

45852846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521.

The product of its digits is 307200, while the sum is 42.

The square root of 45852846 is about 6771.4729564549. The cubic root of 45852846 is about 357.9223066215.

The spelling of 45852846 in words is "forty-five million, eight hundred fifty-two thousand, eight hundred forty-six".