54794880 has 320 divisors, whose sum is σ = 225118080. Its totient is φ = 12441600.

The previous prime is 54794869. The next prime is 54794881. The reversal of 54794880 is 8849745.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (54794881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362805 + ... + 362955.

It is an arithmetic number, because the mean of its divisors is an integer number (703494).

Almost surely, 2^54794880 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 54794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112559040).

54794880 is an abundant number, since it is smaller than the sum of its proper divisors (170323200).

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

54794880 is a wasteful number, since it uses less digits than its factorization.

54794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 54794880 is about 7402.3563815855. The cubic root of 54794880 is about 379.8218925260.

The spelling of 54794880 in words is "fifty-four million, seven hundred ninety-four thousand, eight hundred eighty".