50442400 has 72 divisors (see below), whose sum is σ = 130421340. Its totient is φ = 18984960.

The previous prime is 50442391. The next prime is 50442401. The reversal of 50442400 is 424405.

It can be written as a sum of positive squares in 6 ways, for example, as 19395216 + 31047184 = 4404^2 + 5572^2 .

It is not an unprimeable number, because it can be changed into a prime (50442401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11746 + ... + 15454.

Almost surely, 2^50442400 is an apocalyptic number.

50442400 is a gapful number since it is divisible by the number (50) 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 50442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65210670).

50442400 is an abundant number, since it is smaller than the sum of its proper divisors (79978940).

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

50442400 is a wasteful number, since it uses less digits than its factorization.

50442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 50442400 is about 7102.2813236312. The cubic root of 50442400 is about 369.4865046345.

Adding to 50442400 its reverse (424405), we get a palindrome (50866805).

The spelling of 50442400 in words is "fifty million, four hundred forty-two thousand, four hundred".