238985772480 has 1344 divisors, whose sum is σ = 1082560647168. Its totient is φ = 47006023680.

The previous prime is 238985772451. The next prime is 238985772481. The reversal of 238985772480 is 84277589832.

238985772480 is a `hidden beast` number, since 2 + 3 + 8 + 9 + 85 + 7 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×238985772480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238985772481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 247140957 + ... + 247141923.

It is an arithmetic number, because the mean of its divisors is an integer number (805476672).

Almost surely, 2^238985772480 is an apocalyptic number.

238985772480 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 238985772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541280323584).

238985772480 is an abundant number, since it is smaller than the sum of its proper divisors (843574874688).

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

238985772480 is a wasteful number, since it uses less digits than its factorization.

238985772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 238985772480 in words is "two hundred thirty-eight billion, nine hundred eighty-five million, seven hundred seventy-two thousand, four hundred eighty".