44378400 has 216 divisors, whose sum is σ = 161520912. Its totient is φ = 10496000.

The previous prime is 44378371. The next prime is 44378401. The reversal of 44378400 is 487344.

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

It is not an unprimeable number, because it can be changed into a prime (44378401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1082380 + ... + 1082420.

It is an arithmetic number, because the mean of its divisors is an integer number (747782).

Almost surely, 2^44378400 is an apocalyptic number.

44378400 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 44378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80760456).

44378400 is an abundant number, since it is smaller than the sum of its proper divisors (117142512).

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

44378400 is a wasteful number, since it uses less digits than its factorization.

44378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 44378400 is about 6661.7114918015. The cubic root of 44378400 is about 354.0439793424.

The spelling of 44378400 in words is "forty-four million, three hundred seventy-eight thousand, four hundred".