50000400 has 360 divisors, whose sum is σ = 197889120. Its totient is φ = 11612160.

The previous prime is 50000399. The next prime is 50000429. The reversal of 50000400 is 400005.

50000400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1162779 + ... + 1162821.

It is an arithmetic number, because the mean of its divisors is an integer number (549692).

Almost surely, 2^50000400 is an apocalyptic number.

50000400 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 50000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98944560).

50000400 is an abundant number, since it is smaller than the sum of its proper divisors (147888720).

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

50000400 is a wasteful number, since it uses less digits than its factorization.

50000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 50000400 is about 7071.0960960802. The cubic root of 50000400 is about 368.4041322698.

Adding to 50000400 its reverse (400005), we get a palindrome (50400405).

The spelling of 50000400 in words is "fifty million, four hundred", and thus it is an aban number.