578540160 has 384 divisors, whose sum is σ = 2279871360. Its totient is φ = 133816320.

The previous prime is 578540159. The next prime is 578540167. The reversal of 578540160 is 61045875.

578540160 is a `hidden beast` number, since 57 + 8 + 540 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (578540167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457082 + ... + 1457478.

It is an arithmetic number, because the mean of its divisors is an integer number (5937165).

Almost surely, 2^578540160 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 578540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139935680).

578540160 is an abundant number, since it is smaller than the sum of its proper divisors (1701331200).

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

578540160 is a wasteful number, since it uses less digits than its factorization.

578540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 578540160 is about 24052.8617839957. The cubic root of 578540160 is about 833.2548249595.

The spelling of 578540160 in words is "five hundred seventy-eight million, five hundred forty thousand, one hundred sixty".