51408000 has 512 divisors, whose sum is σ = 229132800. Its totient is φ = 11059200.

The previous prime is 51407999. The next prime is 51408001. The reversal of 51408000 is 80415.

It is an interprime number because it is at equal distance from previous prime (51407999) and next prime (51408001).

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 (51408001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3023992 + ... + 3024008.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 2^51408000 is an apocalyptic number.

51408000 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 51408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

51408000 is an abundant number, since it is smaller than the sum of its proper divisors (177724800).

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

51408000 is a wasteful number, since it uses less digits than its factorization.

51408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51408000 is about 7169.9372382190. The cubic root of 51408000 is about 371.8292660845.

Adding to 51408000 its reverse (80415), we get a palindrome (51488415).

The spelling of 51408000 in words is "fifty-one million, four hundred eight thousand".