238295004480 has 1344 divisors, whose sum is σ = 962478054720. Its totient is φ = 53673984000.

The previous prime is 238295004449. The next prime is 238295004491. The reversal of 238295004480 is 84400592832.

238295004480 is a `hidden beast` number, since 2 + 3 + 8 + 29 + 500 + 44 + 80 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 149471931456 + 88823073024 = 386616^2 + 298032^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2359356430 + ... + 2359356530.

It is an arithmetic number, because the mean of its divisors is an integer number (716129505).

Almost surely, 2^238295004480 is an apocalyptic number.

238295004480 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 238295004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481239027360).

238295004480 is an abundant number, since it is smaller than the sum of its proper divisors (724183050240).

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

238295004480 is a wasteful number, since it uses less digits than its factorization.

238295004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 238295004480 in words is "two hundred thirty-eight billion, two hundred ninety-five million, four thousand, four hundred eighty".