500394348000 has 864 divisors, whose sum is σ = 1926609572160. Its totient is φ = 127482854400.

The previous prime is 500394347987. The next prime is 500394348007. The reversal of 500394348000 is 843493005.

500394348000 is a `hidden beast` number, since 500 + 39 + 43 + 4 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500394348007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 603611586 + ... + 603612414.

It is an arithmetic number, because the mean of its divisors is an integer number (2229872190).

Almost surely, 2^500394348000 is an apocalyptic number.

500394348000 is a gapful number since it is divisible by the number (50) 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 500394348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963304786080).

500394348000 is an abundant number, since it is smaller than the sum of its proper divisors (1426215224160).

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

500394348000 is an frugal number, since it uses more digits than its factorization.

500394348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 500394348000 in words is "five hundred billion, three hundred ninety-four million, three hundred forty-eight thousand".