505632834 has 64 divisors (see below), whose sum is σ = 1289882880. Its totient is φ = 143821440.

The previous prime is 505632833. The next prime is 505632839. The reversal of 505632834 is 438236505.

505632834 = 4236² + 4237² + ... + 4263².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (505632833) 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, 85204 + ... + 90944.

It is an arithmetic number, because the mean of its divisors is an integer number (20154420).

Almost surely, 2^505632834 is an apocalyptic number.

505632834 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505632834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644941440).

505632834 is an abundant number, since it is smaller than the sum of its proper divisors (784250046).

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

505632834 is a wasteful number, since it uses less digits than its factorization.

505632834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5992 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 505632834 is about 22486.2810175449. The cubic root of 505632834 is about 796.6699251942.

The spelling of 505632834 in words is "five hundred five million, six hundred thirty-two thousand, eight hundred thirty-four".