54401256 has 288 divisors, whose sum is σ = 199704960. Its totient is φ = 13001472.

The previous prime is 54401239. The next prime is 54401273. The reversal of 54401256 is 65210445.

54401256 is a `hidden beast` number, since 5 + 4 + 401 + 256 = 666.

54401256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54401239) and next prime (54401273).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2365261 + ... + 2365283.

It is an arithmetic number, because the mean of its divisors is an integer number (693420).

Almost surely, 2^54401256 is an apocalyptic number.

54401256 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 54401256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

54401256 is an abundant number, since it is smaller than the sum of its proper divisors (145303704).

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

54401256 is a wasteful number, since it uses less digits than its factorization.

54401256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54401256 is about 7375.7207105475. The cubic root of 54401256 is about 378.9102109522.

The spelling of 54401256 in words is "fifty-four million, four hundred one thousand, two hundred fifty-six".