44942400 has 126 divisors (see below), whose sum is σ = 159787082. Its totient is φ = 11980800.

The previous prime is 44942393. The next prime is 44942411. The reversal of 44942400 is 424944.

It can be written as a sum of positive squares in 3 ways, for example, as 746496 + 44195904 = 864^2 + 6648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12840 + ... + 15960.

Almost surely, 2^44942400 is an apocalyptic number.

44942400 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 44942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79893541).

44942400 is an abundant number, since it is smaller than the sum of its proper divisors (114844682).

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

44942400 is a wasteful number, since it uses less digits than its factorization.

44942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 44942400 is about 6703.9093072624. The cubic root of 44942400 is about 355.5375048707.

It can be divided in two parts, 449 and 42400, that added together give a square (42849 = 207²).

The spelling of 44942400 in words is "forty-four million, nine hundred forty-two thousand, four hundred".