238294788480 has 768 divisors, whose sum is σ = 966176640000. Its totient is φ = 52995244032.

The previous prime is 238294788469. The next prime is 238294788527. The reversal of 238294788480 is 84887492832.

238294788480 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 9 + 478 + 84 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259297461 + ... + 259298379.

It is an arithmetic number, because the mean of its divisors is an integer number (1258042500).

Almost surely, 2^238294788480 is an apocalyptic number.

238294788480 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 238294788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483088320000).

238294788480 is an abundant number, since it is smaller than the sum of its proper divisors (727881851520).

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

238294788480 is a wasteful number, since it uses less digits than its factorization.

238294788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 238294788480 in words is "two hundred thirty-eight billion, two hundred ninety-four million, seven hundred eighty-eight thousand, four hundred eighty".