500834880 has 672 divisors, whose sum is σ = 2231136000. Its totient is φ = 105670656.

The previous prime is 500834879. The next prime is 500834881. The reversal of 500834880 is 88438005.

It is an interprime number because it is at equal distance from previous prime (500834879) and next prime (500834881).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×500834880² = 501671154049228800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (500834881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38525754 + ... + 38525766.

Almost surely, 2^500834880 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 500834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115568000).

500834880 is an abundant number, since it is smaller than the sum of its proper divisors (1730301120).

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

500834880 is a wasteful number, since it uses less digits than its factorization.

500834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 500834880 is about 22379.3404728558. The cubic root of 500834880 is about 794.1420434626.

The spelling of 500834880 in words is "five hundred million, eight hundred thirty-four thousand, eight hundred eighty".