54780480 has 168 divisors, whose sum is σ = 196852032. Its totient is φ = 13956096.

The previous prime is 54780433. The next prime is 54780493. The reversal of 54780480 is 8408745.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65827 + ... + 66653.

Almost surely, 2^54780480 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 54780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98426016).

54780480 is an abundant number, since it is smaller than the sum of its proper divisors (142071552).

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

54780480 is a wasteful number, since it uses less digits than its factorization.

54780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 54780480 is about 7401.3836544257. The cubic root of 54780480 is about 379.7886174314.

The spelling of 54780480 in words is "fifty-four million, seven hundred eighty thousand, four hundred eighty".