51450 has 48 divisors (see below), whose sum is σ = 148800. Its totient is φ = 11760.

The previous prime is 51449. The next prime is 51461. The reversal of 51450 is 5415.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7347 + ... + 7353.

It is an arithmetic number, because the mean of its divisors is an integer number (3100).

2⁵¹⁴⁵⁰ is an apocalyptic number.

51450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400).

51450 is an abundant number, since it is smaller than the sum of its proper divisors (97350).

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

51450 is a wasteful number, since it uses less digits than its factorization.

51450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 51450 is about 226.8259244443. The cubic root of 51450 is about 37.1930499214.

Adding to 51450 its reverse (5415), we get a palindrome (56865).

The spelling of 51450 in words is "fifty-one thousand, four hundred fifty".