238714000 has 240 divisors, whose sum is σ = 712632960. Its totient is φ = 75724800.

The previous prime is 238713977. The next prime is 238714001. The reversal of 238714000 is 417832.

238714000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (238714001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4045971 + ... + 4046029.

It is an arithmetic number, because the mean of its divisors is an integer number (2969304).

Almost surely, 2^238714000 is an apocalyptic number.

238714000 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 238714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356316480).

238714000 is an abundant number, since it is smaller than the sum of its proper divisors (473918960).

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

238714000 is a wasteful number, since it uses less digits than its factorization.

238714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 238714000 is about 15450.3721638024. The cubic root of 238714000 is about 620.3345402329.

The spelling of 238714000 in words is "two hundred thirty-eight million, seven hundred fourteen thousand".