50000402400 has 288 divisors, whose sum is σ = 176983672320. Its totient is φ = 12187514880.

The previous prime is 50000402371. The next prime is 50000402401. The reversal of 50000402400 is 420400005.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 50000402400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50000402401) 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, 3205821 + ... + 3221379.

It is an arithmetic number, because the mean of its divisors is an integer number (614526640).

Almost surely, 2^50000402400 is an apocalyptic number.

50000402400 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 50000402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88491836160).

50000402400 is an abundant number, since it is smaller than the sum of its proper divisors (126983269920).

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

50000402400 is a wasteful number, since it uses less digits than its factorization.

50000402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15698 (or 15685 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 50000402400 its reverse (420400005), we get a palindrome (50420802405).

The spelling of 50000402400 in words is "fifty billion, four hundred two thousand, four hundred".