54336480 has 192 divisors, whose sum is σ = 192036096. Its totient is φ = 12800000.

The previous prime is 54336479. The next prime is 54336481. The reversal of 54336480 is 8463345.

It is an interprime number because it is at equal distance from previous prime (54336479) and next prime (54336481).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54336481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216355 + ... + 216605.

It is an arithmetic number, because the mean of its divisors is an integer number (1000188).

Almost surely, 2^54336480 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 54336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96018048).

54336480 is an abundant number, since it is smaller than the sum of its proper divisors (137699616).

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

54336480 is a wasteful number, since it uses less digits than its factorization.

54336480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 54336480 is about 7371.3282385198. The cubic root of 54336480 is about 378.7597607741.

The spelling of 54336480 in words is "fifty-four million, three hundred thirty-six thousand, four hundred eighty".