50413600 has 144 divisors (see below), whose sum is σ = 132882120. Its totient is φ = 18636800.

The previous prime is 50413591. The next prime is 50413603. The reversal of 50413600 is 631405.

50413600 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 12 ways, for example, as 456976 + 49956624 = 676^2 + 7068^2 .

It is not an unprimeable number, because it can be changed into a prime (50413603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951174 + ... + 951226.

Almost surely, 2^50413600 is an apocalyptic number.

50413600 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 50413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66441060).

50413600 is an abundant number, since it is smaller than the sum of its proper divisors (82468520).

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

50413600 is a wasteful number, since it uses less digits than its factorization.

50413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 50413600 is about 7100.2535166007. The cubic root of 50413600 is about 369.4161720230.

It can be divided in two parts, 5041 and 3600, that multiplied together give a square (18147600 = 4260²).

The spelling of 50413600 in words is "fifty million, four hundred thirteen thousand, six hundred".