45846441 has 27 divisors (see below), whose sum is σ = 69194853. Its totient is φ = 29250720.

The previous prime is 45846421. The next prime is 45846443. The reversal of 45846441 is 14464854.

It is a happy number.

The square root of 45846441 is 6771.

It is a perfect power (a square), and thus also a powerful number.

45846441 is a `hidden beast` number, since 4 + 5 + 8 + 4 + 644 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1010025 + 44836416 = 1005^2 + 6696^2 .

It is a de Polignac number, because none of the positive numbers 2^k-45846441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45846396 and 45846405.

It is not an unprimeable number, because it can be changed into a prime (45846443) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 751551 + ... + 751611.

Almost surely, 2^45846441 is an apocalyptic number.

45846441 is the 6771-st square number.

45846441 is the 3386-th centered octagonal number.

It is an amenable number.

45846441 is a deficient number, since it is larger than the sum of its proper divisors (23348412).

45846441 is an equidigital number, since it uses as much as digits as its factorization.

45846441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The cubic root of 45846441 is about 357.9056402687.

Multiplying 45846441 by its sum of digits (36), we get a square (1650471876 = 40626²).

It can be divided in two parts, 4584 and 6441, that added together give a square (11025 = 105²).

The spelling of 45846441 in words is "forty-five million, eight hundred forty-six thousand, four hundred forty-one".