508434401384 has 192 divisors, whose sum is σ = 1241115120000. Its totient is φ = 190121707008.

The previous prime is 508434401383. The next prime is 508434401429. The reversal of 508434401384 is 483104434805.

It is a happy number.

It is a super-2 number, since 2×508434401384² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (508434401383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131139254 + ... + 131143130.

It is an arithmetic number, because the mean of its divisors is an integer number (6464141250).

Almost surely, 2^508434401384 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 508434401384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620557560000).

508434401384 is an abundant number, since it is smaller than the sum of its proper divisors (732680718616).

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

508434401384 is a wasteful number, since it uses less digits than its factorization.

508434401384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The spelling of 508434401384 in words is "five hundred eight billion, four hundred thirty-four million, four hundred one thousand, three hundred eighty-four".