238898400 has 432 divisors, whose sum is σ = 914941440. Its totient is φ = 53913600.

The previous prime is 238898393. The next prime is 238898423. The reversal of 238898400 is 4898832.

It is a happy number.

238898400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 7706385 + ... + 7706415.

It is an arithmetic number, because the mean of its divisors is an integer number (2117920).

Almost surely, 2^238898400 is an apocalyptic number.

238898400 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 238898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457470720).

238898400 is an abundant number, since it is smaller than the sum of its proper divisors (676043040).

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

238898400 is a wasteful number, since it uses less digits than its factorization.

238898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 238898400 is about 15456.3385056099. The cubic root of 238898400 is about 620.4942295788.

The spelling of 238898400 in words is "two hundred thirty-eight million, eight hundred ninety-eight thousand, four hundred".