238624920 has 256 divisors, whose sum is σ = 865468800. Its totient is φ = 58245120.

The previous prime is 238624913. The next prime is 238624957. The reversal of 238624920 is 29426832.

238624920 is a `hidden beast` number, since 2 + 3 + 8 + 624 + 9 + 20 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 752602 + ... + 752918.

Almost surely, 2^238624920 is an apocalyptic number.

238624920 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 238624920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432734400).

238624920 is an abundant number, since it is smaller than the sum of its proper divisors (626843880).

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

238624920 is a wasteful number, since it uses less digits than its factorization.

238624920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

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

The square root of 238624920 is about 15447.4891163580. The cubic root of 238624920 is about 620.2573680019.

It can be divided in two parts, 23862 and 4920, that added together give a palindrome (28782).

The spelling of 238624920 in words is "two hundred thirty-eight million, six hundred twenty-four thousand, nine hundred twenty".