54405376 has 27 divisors (see below), whose sum is σ = 108834313. Its totient is φ = 27143680.

The previous prime is 54405371. The next prime is 54405391. The reversal of 54405376 is 67350445.

It is a happy number.

The square root of 54405376 is 7376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17438976 + 36966400 = 4176^2 + 6080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54405371) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 117786 + ... + 118246.

Almost surely, 2^54405376 is an apocalyptic number.

54405376 is the 7376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54405376

54405376 is an abundant number, since it is smaller than the sum of its proper divisors (54428937).

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

54405376 is an frugal number, since it uses more digits than its factorization.

54405376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The cubic root of 54405376 is about 378.9197761153.

It can be divided in two parts, 5440 and 5376, that added together give a square (10816 = 104²).

The spelling of 54405376 in words is "fifty-four million, four hundred five thousand, three hundred seventy-six".