54768480 has 192 divisors, whose sum is σ = 190003968. Its totient is φ = 13178880.

The previous prime is 54768479. The next prime is 54768481. The reversal of 54768480 is 8486745.

It is an interprime number because it is at equal distance from previous prime (54768479) and next prime (54768481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54768481) 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, 418015 + ... + 418145.

It is an arithmetic number, because the mean of its divisors is an integer number (989604).

Almost surely, 2^54768480 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 54768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95001984).

54768480 is an abundant number, since it is smaller than the sum of its proper divisors (135235488).

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

54768480 is a wasteful number, since it uses less digits than its factorization.

54768480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 54768480 is about 7400.5729507924. The cubic root of 54768480 is about 379.7608837312.

The spelling of 54768480 in words is "fifty-four million, seven hundred sixty-eight thousand, four hundred eighty".