44961600 has 336 divisors, whose sum is σ = 170078400. Its totient is φ = 10321920.

The previous prime is 44961559. The next prime is 44961607. The reversal of 44961600 is 616944.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44961607) 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 47 ways as a sum of consecutive naturals, for example, 1550386 + ... + 1550414.

Almost surely, 2^44961600 is an apocalyptic number.

44961600 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 44961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85039200).

44961600 is an abundant number, since it is smaller than the sum of its proper divisors (125116800).

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

44961600 is a wasteful number, since it uses less digits than its factorization.

44961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 44961600 is about 6705.3411546319. The cubic root of 44961600 is about 355.5881278030.

The spelling of 44961600 in words is "forty-four million, nine hundred sixty-one thousand, six hundred".