500677632 has 352 divisors, whose sum is σ = 1834112000. Its totient is φ = 131383296.

The previous prime is 500677631. The next prime is 500677637. The reversal of 500677632 is 236776005.

It is a happy number.

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 (500677631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515869 + ... + 2516067.

Almost surely, 2^500677632 is an apocalyptic number.

500677632 is a gapful number since it is divisible by the number (52) 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 500677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917056000).

500677632 is an abundant number, since it is smaller than the sum of its proper divisors (1333434368).

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

500677632 is a wasteful number, since it uses less digits than its factorization.

500677632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 500677632 is about 22375.8269567853. The cubic root of 500677632 is about 794.0589220423.

The spelling of 500677632 in words is "five hundred million, six hundred seventy-seven thousand, six hundred thirty-two".