506755392 has 112 divisors (see below), whose sum is σ = 1575279552. Its totient is φ = 141742080.

The previous prime is 506755391. The next prime is 506755433. The reversal of 506755392 is 293557605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506755391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18228 + ... + 36684.

It is an arithmetic number, because the mean of its divisors is an integer number (14064996).

Almost surely, 2^506755392 is an apocalyptic number.

506755392 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 506755392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787639776).

506755392 is an abundant number, since it is smaller than the sum of its proper divisors (1068524160).

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

506755392 is a wasteful number, since it uses less digits than its factorization.

506755392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18496 (or 18486 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 42.

The square root of 506755392 is about 22511.2281317568. The cubic root of 506755392 is about 797.2590530708.

The spelling of 506755392 in words is "five hundred six million, seven hundred fifty-five thousand, three hundred ninety-two".