50414400 has 210 divisors, whose sum is σ = 185787030. Its totient is φ = 13409280.

The previous prime is 50414393. The next prime is 50414411. The reversal of 50414400 is 441405.

It can be written as a sum of positive squares in 3 ways, for example, as 627264 + 49787136 = 792^2 + 7056^2 .

It is a super-2 number, since 2×50414400² = 5083223454720000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129406 + ... + 129794.

Almost surely, 2^50414400 is an apocalyptic number.

50414400 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 50414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92893515).

50414400 is an abundant number, since it is smaller than the sum of its proper divisors (135372630).

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

50414400 is a wasteful number, since it uses less digits than its factorization.

50414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 399 counting only the distinct ones).

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

The square root of 50414400 is about 7100.3098523938. The cubic root of 50414400 is about 369.4181260683.

Adding to 50414400 its reverse (441405), we get a palindrome (50855805).

The spelling of 50414400 in words is "fifty million, four hundred fourteen thousand, four hundred".