44646400 has 90 divisors (see below), whose sum is σ = 111735470. Its totient is φ = 17694720.

The previous prime is 44646397. The next prime is 44646401. The reversal of 44646400 is 464644.

It can be written as a sum of positive squares in 3 ways, for example, as 5308416 + 39337984 = 2304^2 + 6272^2 .

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44646401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409546 + ... + 409654.

Almost surely, 2^44646400 is an apocalyptic number.

44646400 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 44646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55867735).

44646400 is an abundant number, since it is smaller than the sum of its proper divisors (67089070).

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

44646400 is an equidigital number, since it uses as much as digits as its factorization.

44646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 44646400 is about 6681.7961657028. The cubic root of 44646400 is about 354.7552369547.

The spelling of 44646400 in words is "forty-four million, six hundred forty-six thousand, four hundred".