238694400 has 468 divisors, whose sum is σ = 1003495792. Its totient is φ = 53084160.

The previous prime is 238694387. The next prime is 238694431. The reversal of 238694400 is 4496832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6451182 + ... + 6451218.

Almost surely, 2^238694400 is an apocalyptic number.

238694400 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 238694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501747896).

238694400 is an abundant number, since it is smaller than the sum of its proper divisors (764801392).

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

238694400 is a wasteful number, since it uses less digits than its factorization.

238694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 238694400 is about 15449.7378618538. The cubic root of 238694400 is about 620.3175619105.

The spelling of 238694400 in words is "two hundred thirty-eight million, six hundred ninety-four thousand, four hundred".