238249950400 has 672 divisors, whose sum is σ = 757760500224. Its totient is φ = 71577600000.

The previous prime is 238249950383. The next prime is 238249950409. The reversal of 238249950400 is 4059942832.

It is not an unprimeable number, because it can be changed into a prime (238249950409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 510170967 + ... + 510171433.

It is an arithmetic number, because the mean of its divisors is an integer number (1127619792).

Almost surely, 2^238249950400 is an apocalyptic number.

238249950400 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 238249950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378880250112).

238249950400 is an abundant number, since it is smaller than the sum of its proper divisors (519510549824).

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

238249950400 is a wasteful number, since it uses less digits than its factorization.

238249950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 238249950400 in words is "two hundred thirty-eight billion, two hundred forty-nine million, nine hundred fifty thousand, four hundred".