506905344 has 288 divisors, whose sum is σ = 1677715200. Its totient is φ = 149667840.

The previous prime is 506905327. The next prime is 506905361. The reversal of 506905344 is 443509605.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (506905327) and next prime (506905361).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 506905299 and 506905308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4485832 + ... + 4485944.

It is an arithmetic number, because the mean of its divisors is an integer number (5825400).

Almost surely, 2^506905344 is an apocalyptic number.

506905344 is a gapful number since it is divisible by the number (54) 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 506905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838857600).

506905344 is an abundant number, since it is smaller than the sum of its proper divisors (1170809856).

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

506905344 is a wasteful number, since it uses less digits than its factorization.

506905344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 506905344 is about 22514.5584900082. The cubic root of 506905344 is about 797.3376832485.

The spelling of 506905344 in words is "five hundred six million, nine hundred five thousand, three hundred forty-four".