54197280 has 144 divisors (see below), whose sum is σ = 188284824. Its totient is φ = 14192640.

The previous prime is 54197279. The next prime is 54197281. The reversal of 54197280 is 8279145.

54197280 is a `hidden beast` number, since 541 + 97 + 28 + 0 = 666.

54197280 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 (54197279) and next prime (54197281).

It can be written as a sum of positive squares in 4 ways, for example, as 12362256 + 41835024 = 3516^2 + 6468^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (54197281) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 87532 + ... + 88148.

Almost surely, 2^54197280 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 54197280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94142412).

54197280 is an abundant number, since it is smaller than the sum of its proper divisors (134087544).

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

54197280 is a wasteful number, since it uses less digits than its factorization.

54197280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 54197280 is about 7361.8801946242. The cubic root of 54197280 is about 378.4360467279.

The spelling of 54197280 in words is "fifty-four million, one hundred ninety-seven thousand, two hundred eighty".