54075456 has 84 divisors (see below), whose sum is σ = 156019500. Its totient is φ = 17906688.

The previous prime is 54075451. The next prime is 54075479. The reversal of 54075456 is 65457045.

It is a happy number.

54075456 is a `hidden beast` number, since 540 + 75 + 45 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 34574400 = 4416^2 + 5880^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 54075456.

It is not an unprimeable number, because it can be changed into a prime (54075451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154770 + ... + 155118.

It is an arithmetic number, because the mean of its divisors is an integer number (1857375).

Almost surely, 2^54075456 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 54075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78009750).

54075456 is an abundant number, since it is smaller than the sum of its proper divisors (101944044).

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

54075456 is a wasteful number, since it uses less digits than its factorization.

54075456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 54075456 is about 7353.6015665795. The cubic root of 54075456 is about 378.1522859985.

It can be divided in two parts, 5407 and 5456, that multiplied together give a palindrome (29500592).

The spelling of 54075456 in words is "fifty-four million, seventy-five thousand, four hundred fifty-six".