45832644 has 144 divisors (see below), whose sum is σ = 141261120. Its totient is φ = 12337920.

The previous prime is 45832643. The next prime is 45832669. The reversal of 45832644 is 44623854.

45832644 is a `hidden beast` number, since 4 + 5 + 8 + 3 + 2 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45832599 and 45832608.

It is not an unprimeable number, because it can be changed into a prime (45832643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149139 + ... + 149445.

It is an arithmetic number, because the mean of its divisors is an integer number (980980).

Almost surely, 2^45832644 is an apocalyptic number.

45832644 is a gapful number since it is divisible by the number (44) 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 45832644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70630560).

45832644 is an abundant number, since it is smaller than the sum of its proper divisors (95428476).

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

45832644 is a wasteful number, since it uses less digits than its factorization.

45832644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 45832644 is about 6769.9810930312. The cubic root of 45832644 is about 357.8697340316.

It can be divided in two parts, 4583 and 2644, that added together give a palindrome (7227).

The spelling of 45832644 in words is "forty-five million, eight hundred thirty-two thousand, six hundred forty-four".