938424480 has 288 divisors, whose sum is σ = 3642480576. Its totient is φ = 201793536.

The previous prime is 938424469. The next prime is 938424481. The reversal of 938424480 is 84424839.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (938424481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398667 + ... + 401013.

It is an arithmetic number, because the mean of its divisors is an integer number (12647502).

Almost surely, 2^938424480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 938424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821240288).

938424480 is an abundant number, since it is smaller than the sum of its proper divisors (2704056096).

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

938424480 is a wasteful number, since it uses less digits than its factorization.

938424480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 938424480 is about 30633.7147600483. The cubic root of 938424480 is about 979.0385127666.

The spelling of 938424480 in words is "nine hundred thirty-eight million, four hundred twenty-four thousand, four hundred eighty".