50408400 has 240 divisors, whose sum is σ = 195951744. Its totient is φ = 10813440.

The previous prime is 50408381. The next prime is 50408401. The reversal of 50408400 is 480405.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50408401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142624 + ... + 142976.

Almost surely, 2^50408400 is an apocalyptic number.

50408400 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 50408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97975872).

50408400 is an abundant number, since it is smaller than the sum of its proper divisors (145543344).

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

50408400 is a wasteful number, since it uses less digits than its factorization.

50408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 50408400 is about 7099.8873230496. The cubic root of 50408400 is about 369.4034702246.

Adding to 50408400 its reverse (480405), we get a palindrome (50888805).

The spelling of 50408400 in words is "fifty million, four hundred eight thousand, four hundred".