50034400 has 144 divisors (see below), whose sum is σ = 139772304. Its totient is φ = 17326080.

The previous prime is 50034343. The next prime is 50034401. The reversal of 50034400 is 443005.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50034401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176659 + ... + 176941.

It is an arithmetic number, because the mean of its divisors is an integer number (970641).

Almost surely, 2^50034400 is an apocalyptic number.

50034400 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 50034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69886152).

50034400 is an abundant number, since it is smaller than the sum of its proper divisors (89737904).

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

50034400 is a wasteful number, since it uses less digits than its factorization.

50034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 50034400 is about 7073.4998409557. The cubic root of 50034400 is about 368.4876176181.

Adding to 50034400 its reverse (443005), we get a palindrome (50477405).

The spelling of 50034400 in words is "fifty million, thirty-four thousand, four hundred".