54399456 has 144 divisors (see below), whose sum is σ = 168412608. Its totient is φ = 16588800.

The previous prime is 54399437. The next prime is 54399461. The reversal of 54399456 is 65499345.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 200601 + ... + 200871.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 2^54399456 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 54399456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206304).

54399456 is an abundant number, since it is smaller than the sum of its proper divisors (114013152).

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

54399456 is a wasteful number, since it uses less digits than its factorization.

54399456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 54399456 is about 7375.5986875643. The cubic root of 54399456 is about 378.9060318458.

It can be divided in two parts, 543 and 99456, that added together give a palindrome (99999).

The spelling of 54399456 in words is "fifty-four million, three hundred ninety-nine thousand, four hundred fifty-six".