44496900 has 162 divisors, whose sum is σ = 162404970. Its totient is φ = 10160640.

The previous prime is 44496899. The next prime is 44496919. The reversal of 44496900 is 969444.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 43480836 = 1008^2 + 6594^2 .

It is a super-2 number, since 2×44496900² = 3959948219220000, which contains 22 as substring.

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

It is an unprimeable number.

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, 43596 + ... + 44604.

Almost surely, 2^44496900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44496900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81202485).

44496900 is an abundant number, since it is smaller than the sum of its proper divisors (117908070).

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

44496900 is a wasteful number, since it uses less digits than its factorization.

44496900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 44496900 is about 6670.5996731928. The cubic root of 44496900 is about 354.3588241359.

It can be divided in two parts, 444 and 96900, that added together give a square (97344 = 312²).

The spelling of 44496900 in words is "forty-four million, four hundred ninety-six thousand, nine hundred".