4578944000 has 176 divisors, whose sum is σ = 11587919616. Its totient is φ = 1805312000.

The previous prime is 4578943903. The next prime is 4578944011. The reversal of 4578944000 is 4498754.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10623785 + ... + 10624215.

Almost surely, 2^4578944000 is an apocalyptic number.

4578944000 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 4578944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793959808).

4578944000 is an abundant number, since it is smaller than the sum of its proper divisors (7008975616).

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

4578944000 is an equidigital number, since it uses as much as digits as its factorization.

4578944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 4578944000 is about 67667.8948985411. The cubic root of 4578944000 is about 1660.5620586673.

The spelling of 4578944000 in words is "four billion, five hundred seventy-eight million, nine hundred forty-four thousand".