54338256 has 240 divisors, whose sum is σ = 193380480. Its totient is φ = 14515200.

The previous prime is 54338227. The next prime is 54338261. The reversal of 54338256 is 65283345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (86400) is a multiple of the sum of its prime divisors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 54338256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359781 + ... + 359931.

It is an arithmetic number, because the mean of its divisors is an integer number (805752).

Almost surely, 2^54338256 is an apocalyptic number.

54338256 is a gapful number since it is divisible by the number (56) 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 54338256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96690240).

54338256 is an abundant number, since it is smaller than the sum of its proper divisors (139042224).

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

54338256 is a wasteful number, since it uses less digits than its factorization.

54338256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 54338256 is about 7371.4487042914. The cubic root of 54338256 is about 378.7638873449.

It can be divided in two parts, 5433 and 8256, that added together give a square (13689 = 117²).

The spelling of 54338256 in words is "fifty-four million, three hundred thirty-eight thousand, two hundred fifty-six".