238315829400 has 1536 divisors, whose sum is σ = 1024391577600. Its totient is φ = 50181120000.

The previous prime is 238315829387. The next prime is 238315829447. The reversal of 238315829400 is 4928513832.

238315829400 is a `hidden beast` number, since 2 + 38 + 31 + 582 + 9 + 4 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 719987235 + ... + 719987565.

It is an arithmetic number, because the mean of its divisors is an integer number (666921600).

Almost surely, 2^238315829400 is an apocalyptic number.

238315829400 is a gapful number since it is divisible by the number (20) 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 238315829400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512195788800).

238315829400 is an abundant number, since it is smaller than the sum of its proper divisors (786075748200).

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

238315829400 is a wasteful number, since it uses less digits than its factorization.

238315829400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 238315829400 in words is "two hundred thirty-eight billion, three hundred fifteen million, eight hundred twenty-nine thousand, four hundred".