45846810 has 112 divisors (see below), whose sum is σ = 130635360. Its totient is φ = 11547360.

The previous prime is 45846809. The next prime is 45846859. The reversal of 45846810 is 1864854.

45846810 is a `hidden beast` number, since 4 + 584 + 68 + 10 = 666.

45846810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45846810² = 4203859974352200, which contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 138345 + ... + 138675.

Almost surely, 2^45846810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45846810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65317680).

45846810 is an abundant number, since it is smaller than the sum of its proper divisors (84788550).

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

45846810 is a wasteful number, since it uses less digits than its factorization.

45846810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 45846810 is about 6771.0272485052. The cubic root of 45846810 is about 357.9066004801.

It can be divided in two parts, 45846 and 810, that added together give a 6-th power (46656 = 6⁶).

The spelling of 45846810 in words is "forty-five million, eight hundred forty-six thousand, eight hundred ten".