51938400 has 288 divisors, whose sum is σ = 191237760. Its totient is φ = 12165120.

The previous prime is 51938399. The next prime is 51938401. The reversal of 51938400 is 483915.

It is an interprime number because it is at equal distance from previous prime (51938399) and next prime (51938401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51938401) 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, 775167 + ... + 775233.

It is an arithmetic number, because the mean of its divisors is an integer number (664020).

Almost surely, 2^51938400 is an apocalyptic number.

51938400 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 51938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

51938400 is an abundant number, since it is smaller than the sum of its proper divisors (139299360).

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

51938400 is a wasteful number, since it uses less digits than its factorization.

51938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 51938400 is about 7206.8300937375. The cubic root of 51938400 is about 373.1036711067.

The spelling of 51938400 in words is "fifty-one million, nine hundred thirty-eight thousand, four hundred".