4578998400 has 144 divisors (see below), whose sum is σ = 16339018410. Its totient is φ = 1221058560.

The previous prime is 4578998387. The next prime is 4578998419. The reversal of 4578998400 is 48998754.

It can be written as a sum of positive squares in 3 ways, for example, as 4109322816 + 469675584 = 64104^2 + 21672^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50697 + ... + 108296.

Almost surely, 2^4578998400 is an apocalyptic number.

4578998400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4578998400 is an abundant number, since it is smaller than the sum of its proper divisors (11760020010).

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

4578998400 is a wasteful number, since it uses less digits than its factorization.

4578998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159023 (or 159003 counting only the distinct ones).

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

The square root of 4578998400 is about 67668.2968604944. The cubic root of 4578998400 is about 1660.5686347263.

The spelling of 4578998400 in words is "four billion, five hundred seventy-eight million, nine hundred ninety-eight thousand, four hundred".