50400144 has 140 divisors (see below), whose sum is σ = 152473500. Its totient is φ = 16111872.

The previous prime is 50400139. The next prime is 50400167. The reversal of 50400144 is 44100405.

It can be written as a sum of positive squares in 2 ways, for example, as 15116544 + 35283600 = 3888^2 + 5940^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 338182 + ... + 338330.

Almost surely, 2^50400144 is an apocalyptic number.

50400144 is a gapful number since it is divisible by the number (54) 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 50400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76236750).

50400144 is an abundant number, since it is smaller than the sum of its proper divisors (102073356).

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

50400144 is a wasteful number, since it uses less digits than its factorization.

50400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 50400144 is about 7099.3058815634. The cubic root of 50400144 is about 369.3833018825.

Adding to 50400144 its reverse (44100405), we get a palindrome (94500549).

The spelling of 50400144 in words is "fifty million, four hundred thousand, one hundred forty-four".