4578000 has 160 divisors (see below), whose sum is σ = 17022720. Its totient is φ = 1036800.

The previous prime is 4577977. The next prime is 4578017. The reversal of 4578000 is 8754.

4578000 = 16² + 17² + ... + 239².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41946 + ... + 42054.

It is an arithmetic number, because the mean of its divisors is an integer number (106392).

Almost surely, 2^4578000 is an apocalyptic number.

4578000 is a gapful number since it is divisible by the number (40) 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 4578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8511360).

4578000 is an abundant number, since it is smaller than the sum of its proper divisors (12444720).

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

4578000 is a wasteful number, since it uses less digits than its factorization.

4578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 4578000 is about 2139.6261355667. The cubic root of 4578000 is about 166.0447936407.

The spelling of 4578000 in words is "four million, five hundred seventy-eight thousand".