548064000 has 432 divisors, whose sum is σ = 2163811104. Its totient is φ = 132096000.

The previous prime is 548063963. The next prime is 548064019. The reversal of 548064000 is 460845.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3167914 + ... + 3168086.

It is an arithmetic number, because the mean of its divisors is an integer number (5008822).

Almost surely, 2^548064000 is an apocalyptic number.

548064000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 548064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081905552).

548064000 is an abundant number, since it is smaller than the sum of its proper divisors (1615747104).

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

548064000 is a wasteful number, since it uses less digits than its factorization.

548064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 548064000 is about 23410.7667537823. The cubic root of 548064000 is about 818.3588034634.

The spelling of 548064000 in words is "five hundred forty-eight million, sixty-four thousand".