51710400 has 504 divisors, whose sum is σ = 229290880. Its totient is φ = 11197440.

The previous prime is 51710383. The next prime is 51710401. The reversal of 51710400 is 401715.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51710401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2721591 + ... + 2721609.

Almost surely, 2^51710400 is an apocalyptic number.

51710400 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 51710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114645440).

51710400 is an abundant number, since it is smaller than the sum of its proper divisors (177580480).

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

51710400 is a wasteful number, since it uses less digits than its factorization.

51710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 51710400 is about 7190.9943679577. The cubic root of 51710400 is about 372.5569181676.

The spelling of 51710400 in words is "fifty-one million, seven hundred ten thousand, four hundred".