4589798400 has 396 divisors, whose sum is σ = 17937517104. Its totient is φ = 1112064000.

The previous prime is 4589798377. The next prime is 4589798407. The reversal of 4589798400 is 48979854.

It is a tau number, because it is divible by the number of its divisors (396).

It is not an unprimeable number, because it can be changed into a prime (4589798407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2533495 + ... + 2535305.

Almost surely, 2^4589798400 is an apocalyptic number.

4589798400 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 4589798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8968758552).

4589798400 is an abundant number, since it is smaller than the sum of its proper divisors (13347718704).

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

4589798400 is a wasteful number, since it uses less digits than its factorization.

4589798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4589798400 is about 67748.0508944722. The cubic root of 4589798400 is about 1661.8731456221.

The spelling of 4589798400 in words is "four billion, five hundred eighty-nine million, seven hundred ninety-eight thousand, four hundred".