506738232 has 384 divisors, whose sum is σ = 1886976000. Its totient is φ = 118609920.

The previous prime is 506738213. The next prime is 506738237. The reversal of 506738232 is 232837605.

506738232 is a `hidden beast` number, since 506 + 73 + 82 + 3 + 2 = 666.

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 (506738237) 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, 5693644 + ... + 5693732.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^506738232 is an apocalyptic number.

506738232 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 506738232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

506738232 is an abundant number, since it is smaller than the sum of its proper divisors (1380237768).

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

506738232 is a wasteful number, since it uses less digits than its factorization.

506738232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 506738232 is about 22510.8469853980. The cubic root of 506738232 is about 797.2500539100.

The spelling of 506738232 in words is "five hundred six million, seven hundred thirty-eight thousand, two hundred thirty-two".