424500384000 has 576 divisors, whose sum is σ = 1757925292032. Its totient is φ = 88206336000.

The previous prime is 424500383947. The next prime is 424500384001. The reversal of 424500384000 is 483005424.

It is a super-2 number, since 2×424500384000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (424500384001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7363287 + ... + 7420713.

It is an arithmetic number, because the mean of its divisors is an integer number (3051953632).

Almost surely, 2^424500384000 is an apocalyptic number.

424500384000 is a gapful number since it is divisible by the number (40) 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 424500384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878962646016).

424500384000 is an abundant number, since it is smaller than the sum of its proper divisors (1333424908032).

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

424500384000 is a wasteful number, since it uses less digits than its factorization.

424500384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57479 (or 57455 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 424500384000 its reverse (483005424), we get a palindrome (424983389424).

The spelling of 424500384000 in words is "four hundred twenty-four billion, five hundred million, three hundred eighty-four thousand".