505919232 has 432 divisors, whose sum is σ = 1904680960. Its totient is φ = 125411328.

The previous prime is 505919221. The next prime is 505919243. The reversal of 505919232 is 232919505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (505919221) and next prime (505919243).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3983553 + ... + 3983679.

Almost surely, 2^505919232 is an apocalyptic number.

505919232 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 505919232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952340480).

505919232 is an abundant number, since it is smaller than the sum of its proper divisors (1398761728).

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

505919232 is a wasteful number, since it uses less digits than its factorization.

505919232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 505919232 is about 22492.6483989769. The cubic root of 505919232 is about 796.8203120578.

The spelling of 505919232 in words is "five hundred five million, nine hundred nineteen thousand, two hundred thirty-two".