44974800 has 270 divisors, whose sum is σ = 173677686. Its totient is φ = 10713600.

The previous prime is 44974777. The next prime is 44974807. The reversal of 44974800 is 847944.

It can be written as a sum of positive squares in 3 ways, for example, as 138384 + 44836416 = 372^2 + 6696^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44974807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1450785 + ... + 1450815.

Almost surely, 2^44974800 is an apocalyptic number.

44974800 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 44974800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86838843).

44974800 is an abundant number, since it is smaller than the sum of its proper divisors (128702886).

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

44974800 is a wasteful number, since it uses less digits than its factorization.

44974800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 44974800 is about 6706.3253723630. The cubic root of 44974800 is about 355.6229227097.

The spelling of 44974800 in words is "forty-four million, nine hundred seventy-four thousand, eight hundred".