238633920 has 504 divisors, whose sum is σ = 1016355600. Its totient is φ = 51093504.

The previous prime is 238633919. The next prime is 238633987. The reversal of 238633920 is 29336832.

238633920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×238633920² = 113892295549132800, which contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2681236 + ... + 2681324.

Almost surely, 2^238633920 is an apocalyptic number.

238633920 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 238633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508177800).

238633920 is an abundant number, since it is smaller than the sum of its proper divisors (777721680).

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

238633920 is a wasteful number, since it uses less digits than its factorization.

238633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 238633920 is about 15447.7804230899. The cubic root of 238633920 is about 620.2651657990.

The spelling of 238633920 in words is "two hundred thirty-eight million, six hundred thirty-three thousand, nine hundred twenty".