238351680 has 336 divisors, whose sum is σ = 979871040. Its totient is φ = 54383616.

The previous prime is 238351657. The next prime is 238351721. The reversal of 238351680 is 86153832.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423079 + ... + 423641.

Almost surely, 2^238351680 is an apocalyptic number.

238351680 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 238351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489935520).

238351680 is an abundant number, since it is smaller than the sum of its proper divisors (741519360).

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

238351680 is a wasteful number, since it uses less digits than its factorization.

238351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 238351680 is about 15438.6424273639. The cubic root of 238351680 is about 620.0205334858.

The spelling of 238351680 in words is "two hundred thirty-eight million, three hundred fifty-one thousand, six hundred eighty".