54464 has 28 divisors (see below), whose sum is σ = 115824. Its totient is φ = 25344.

The previous prime is 54449. The next prime is 54469. The reversal of 54464 is 46445.

54464 = T₅₇ + T₅₈ + ... + T₇₉.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (54469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1454 + ... + 1490.

2⁵⁴⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57912).

54464 is an abundant number, since it is smaller than the sum of its proper divisors (61360).

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

54464 is a wasteful number, since it uses less digits than its factorization.

54464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 62 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 54464 is about 233.3752343330. The cubic root of 54464 is about 37.9055827737.

The spelling of 54464 in words is "fifty-four thousand, four hundred sixty-four".