238413000 has 128 divisors (see below), whose sum is σ = 850187520. Its totient is φ = 54489600.

The previous prime is 238412987. The next prime is 238413037. The reversal of 238413000 is 314832.

It is a happy number.

238413000 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15324 + ... + 26676.

It is an arithmetic number, because the mean of its divisors is an integer number (6642090).

Almost surely, 2^238413000 is an apocalyptic number.

238413000 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 238413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425093760).

238413000 is an abundant number, since it is smaller than the sum of its proper divisors (611774520).

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

238413000 is a wasteful number, since it uses less digits than its factorization.

238413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11384 (or 11370 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 238413000 is about 15440.6282255613. The cubic root of 238413000 is about 620.0736991822.

Adding to 238413000 its reverse (314832), we get a palindrome (238727832).

The spelling of 238413000 in words is "two hundred thirty-eight million, four hundred thirteen thousand".