4238546400 has 288 divisors, whose sum is σ = 16723929600. Its totient is φ = 1027468800.

The previous prime is 4238546399. The next prime is 4238546461. The reversal of 4238546400 is 46458324.

4238546400 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 5 + 4 + 640 + 0 = 666.

4238546400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228681 + ... + 246519.

It is an arithmetic number, because the mean of its divisors is an integer number (58069200).

Almost surely, 2^4238546400 is an apocalyptic number.

4238546400 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 4238546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8361964800).

4238546400 is an abundant number, since it is smaller than the sum of its proper divisors (12485383200).

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

4238546400 is a wasteful number, since it uses less digits than its factorization.

4238546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17879 (or 17860 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4238546400 is about 65104.1196853164. The cubic root of 4238546400 is about 1618.3494849470.

The spelling of 4238546400 in words is "four billion, two hundred thirty-eight million, five hundred forty-six thousand, four hundred".