4604468000 has 192 divisors, whose sum is σ = 12422906496. Its totient is φ = 1663360000.

The previous prime is 4604467949. The next prime is 4604468009. The reversal of 4604468000 is 8644064.

It is a super-2 number, since 2×4604468000² = 42402251126048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4604468009) 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 31 ways as a sum of consecutive naturals, for example, 9987770 + ... + 9988230.

It is an arithmetic number, because the mean of its divisors is an integer number (64702638).

Almost surely, 2^4604468000 is an apocalyptic number.

4604468000 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 4604468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211453248).

4604468000 is an abundant number, since it is smaller than the sum of its proper divisors (7818438496).

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

4604468000 is a wasteful number, since it uses less digits than its factorization.

4604468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 4604468000 is about 67856.2303698047. The cubic root of 4604468000 is about 1663.6417844851.

The spelling of 4604468000 in words is "four billion, six hundred four million, four hundred sixty-eight thousand".