4288874400 has 576 divisors, whose sum is σ = 16536441600. Its totient is φ = 1070530560.

The previous prime is 4288874357. The next prime is 4288874411. The reversal of 4288874400 is 44788824.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44215152 + ... + 44215248.

It is an arithmetic number, because the mean of its divisors is an integer number (28709100).

Almost surely, 2^4288874400 is an apocalyptic number.

4288874400 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 4288874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8268220800).

4288874400 is an abundant number, since it is smaller than the sum of its proper divisors (12247567200).

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

4288874400 is a wasteful number, since it uses less digits than its factorization.

4288874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 4288874400 is about 65489.4983947808. The cubic root of 4288874400 is about 1624.7296623265.

The spelling of 4288874400 in words is "four billion, two hundred eighty-eight million, eight hundred seventy-four thousand, four hundred".