4238438400 has 780 divisors, whose sum is σ = 18188869072. Its totient is φ = 955514880.

The previous prime is 4238438387. The next prime is 4238438431. The reversal of 4238438400 is 48348324.

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 59 ways as a sum of consecutive naturals, for example, 58060764 + ... + 58060836.

Almost surely, 2^4238438400 is an apocalyptic number.

4238438400 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 4238438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094434536).

4238438400 is an abundant number, since it is smaller than the sum of its proper divisors (13950430672).

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

4238438400 is an equidigital number, since it uses as much as digits as its factorization.

4238438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4238438400 is about 65103.2902394341. The cubic root of 4238438400 is about 1618.3357394147.

The spelling of 4238438400 in words is "four billion, two hundred thirty-eight million, four hundred thirty-eight thousand, four hundred".