50538400 has 72 divisors (see below), whose sum is σ = 134616384. Its totient is φ = 18374400.

The previous prime is 50538391. The next prime is 50538403. The reversal of 50538400 is 483505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (50538403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5929 + ... + 11671.

It is an arithmetic number, because the mean of its divisors is an integer number (1869672).

Almost surely, 2^50538400 is an apocalyptic number.

50538400 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 50538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67308192).

50538400 is an abundant number, since it is smaller than the sum of its proper divisors (84077984).

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

50538400 is a wasteful number, since it uses less digits than its factorization.

50538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5774 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 50538400 is about 7109.0365029306. The cubic root of 50538400 is about 369.7207535075.

The spelling of 50538400 in words is "fifty million, five hundred thirty-eight thousand, four hundred".