54114480 has 200 divisors, whose sum is σ = 214977312. Its totient is φ = 12358656.

The previous prime is 54114479. The next prime is 54114481. The reversal of 54114480 is 8441145.

It is a happy number.

54114480 is a `hidden beast` number, since 541 + 1 + 44 + 80 = 666.

54114480 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 (54114479) and next prime (54114481).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54114481) 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 39 ways as a sum of consecutive naturals, for example, 44764 + ... + 45956.

Almost surely, 2^54114480 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 54114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107488656).

54114480 is an abundant number, since it is smaller than the sum of its proper divisors (160862832).

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

54114480 is a wasteful number, since it uses less digits than its factorization.

54114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 54114480 is about 7356.2544817319. The cubic root of 54114480 is about 378.2432297001.

The spelling of 54114480 in words is "fifty-four million, one hundred fourteen thousand, four hundred eighty".