4398872400 has 960 divisors, whose sum is σ = 18986284800. Its totient is φ = 955514880.

The previous prime is 4398872393. The next prime is 4398872459. The reversal of 4398872400 is 42788934.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45349152 + ... + 45349248.

It is an arithmetic number, because the mean of its divisors is an integer number (19777380).

Almost surely, 2^4398872400 is an apocalyptic number.

4398872400 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 4398872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9493142400).

4398872400 is an abundant number, since it is smaller than the sum of its proper divisors (14587412400).

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

4398872400 is a wasteful number, since it uses less digits than its factorization.

4398872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4398872400 is about 66323.9956576803. The cubic root of 4398872400 is about 1638.5025494442.

The spelling of 4398872400 in words is "four billion, three hundred ninety-eight million, eight hundred seventy-two thousand, four hundred".