238450632400 has 120 divisors (see below), whose sum is σ = 618399348480. Its totient is φ = 88087211520.

The previous prime is 238450632389. The next prime is 238450632439. The reversal of 238450632400 is 4236054832.

238450632400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 238450632400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180072 + ... + 713671.

It is an arithmetic number, because the mean of its divisors is an integer number (5153327904).

Almost surely, 2^238450632400 is an apocalyptic number.

238450632400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238450632400 is an abundant number, since it is smaller than the sum of its proper divisors (379948716080).

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

238450632400 is a wasteful number, since it uses less digits than its factorization.

238450632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893813 (or 893802 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 238450632400 in words is "two hundred thirty-eight billion, four hundred fifty million, six hundred thirty-two thousand, four hundred".