51464 has 16 divisors (see below), whose sum is σ = 110400. Its totient is φ = 22032.

The previous prime is 51461. The next prime is 51473. The reversal of 51464 is 46415.

51464 = T₂₇ + T₂₈ + ... + T₆₈.

It is a happy number.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51464.

It is not an unprimeable number, because it can be changed into a prime (51461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 404 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (6900).

2⁵¹⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

51464 is an abundant number, since it is smaller than the sum of its proper divisors (58936).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55200).

51464 is a wasteful number, since it uses less digits than its factorization.

51464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 928 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 51464 is about 226.8567830152. The cubic root of 51464 is about 37.1964231347.

Adding to 51464 its reverse (46415), we get a palindrome (97879).

It can be divided in two parts, 514 and 64, that multiplied together give a triangular number (32896 = T₂₅₆).

The spelling of 51464 in words is "fifty-one thousand, four hundred sixty-four".