54113280 has 176 divisors, whose sum is σ = 187079424. Its totient is φ = 13271040.

The previous prime is 54113263. The next prime is 54113281. The reversal of 54113280 is 8231145.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54113280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54113281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199545 + ... + 199815.

Almost surely, 2^54113280 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 54113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93539712).

54113280 is an abundant number, since it is smaller than the sum of its proper divisors (132966144).

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

54113280 is a wasteful number, since it uses less digits than its factorization.

54113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 54113280 is about 7356.1729180329. The cubic root of 54113280 is about 378.2404338049.

The spelling of 54113280 in words is "fifty-four million, one hundred thirteen thousand, two hundred eighty".