50450400 has 648 divisors, whose sum is σ = 243125064. Its totient is φ = 9676800.

The previous prime is 50450381. The next prime is 50450417. The reversal of 50450400 is 405405.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3880794 + ... + 3880806.

It is an arithmetic number, because the mean of its divisors is an integer number (375193).

Almost surely, 2^50450400 is an apocalyptic number.

50450400 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 50450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121562532).

50450400 is an abundant number, since it is smaller than the sum of its proper divisors (192674664).

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

50450400 is a wasteful number, since it uses less digits than its factorization.

50450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 50450400 is about 7102.8445006209. The cubic root of 50450400 is about 369.5060367198.

Adding to 50450400 its reverse (405405), we get a palindrome (50855805).

It can be divided in two parts, 504 and 50400, that multiplied together give a square (25401600 = 5040²).

The spelling of 50450400 in words is "fifty million, four hundred fifty thousand, four hundred".