51038400 has 336 divisors, whose sum is σ = 201574400. Its totient is φ = 11289600.

The previous prime is 51038387. The next prime is 51038413. The reversal of 51038400 is 483015.

It is an interprime number because it is at equal distance from previous prime (51038387) and next prime (51038413).

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646385 + ... + 1646415.

Almost surely, 2^51038400 is an apocalyptic number.

51038400 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 51038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100787200).

51038400 is an abundant number, since it is smaller than the sum of its proper divisors (150536000).

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

51038400 is a wasteful number, since it uses less digits than its factorization.

51038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 51038400 is about 7144.1164604169. The cubic root of 51038400 is about 370.9360278923.

The spelling of 51038400 in words is "fifty-one million, thirty-eight thousand, four hundred".