44652000 has 144 divisors (see below), whose sum is σ = 148717296. Its totient is φ = 11712000.

The previous prime is 44651987. The next prime is 44652001. The reversal of 44652000 is 25644.

It is a happy number.

It is a super-2 number, since 2×44652000² = 3987602208000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44652001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731970 + ... + 732030.

It is an arithmetic number, because the mean of its divisors is an integer number (1032759).

Almost surely, 2^44652000 is an apocalyptic number.

44652000 is a gapful number since it is divisible by the number (40) 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 44652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74358648).

44652000 is an abundant number, since it is smaller than the sum of its proper divisors (104065296).

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

44652000 is an equidigital number, since it uses as much as digits as its factorization.

44652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 44652000 is about 6682.2152015630. The cubic root of 44652000 is about 354.7700686564.

Adding to 44652000 its reverse (25644), we get a palindrome (44677644).

The spelling of 44652000 in words is "forty-four million, six hundred fifty-two thousand".