238478675400 has 288 divisors, whose sum is σ = 946867521600. Its totient is φ = 52629696000.

The previous prime is 238478675387. The next prime is 238478675411. The reversal of 238478675400 is 4576874832.

238478675400 is a `hidden beast` number, since 2 + 38 + 4 + 7 + 8 + 67 + 540 + 0 = 666.

It is a super-3 number, since 3×238478675400³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39075 + ... + 691725.

It is an arithmetic number, because the mean of its divisors is an integer number (3287734450).

Almost surely, 2^238478675400 is an apocalyptic number.

238478675400 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 238478675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473433760800).

238478675400 is an abundant number, since it is smaller than the sum of its proper divisors (708388846200).

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

238478675400 is a wasteful number, since it uses less digits than its factorization.

238478675400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652709 (or 652697 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 238478675400 in words is "two hundred thirty-eight billion, four hundred seventy-eight million, six hundred seventy-five thousand, four hundred".