50438800 has 30 divisors (see below), whose sum is σ = 121180178. Its totient is φ = 20175360.

The previous prime is 50438797. The next prime is 50438803. The reversal of 50438800 is 883405.

It is an interprime number because it is at equal distance from previous prime (50438797) and next prime (50438803).

It can be written as a sum of positive squares in 3 ways, for example, as 1774224 + 48664576 = 1332^2 + 6976^2 .

It is not an unprimeable number, because it can be changed into a prime (50438803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62649 + ... + 63448.

Almost surely, 2^50438800 is an apocalyptic number.

50438800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

50438800 is an abundant number, since it is smaller than the sum of its proper divisors (70741378).

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

50438800 is a wasteful number, since it uses less digits than its factorization.

50438800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126115 (or 126104 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 50438800 is about 7102.0278794159. The cubic root of 50438800 is about 369.4777145223.

It can be divided in two parts, 504 and 38800, that added together give a cube (39304 = 34³).

The spelling of 50438800 in words is "fifty million, four hundred thirty-eight thousand, eight hundred".