506405088 has 384 divisors, whose sum is σ = 1814077440. Its totient is φ = 134369280.

The previous prime is 506405077. The next prime is 506405101. The reversal of 506405088 is 880504605.

It is a happy number.

506405088 is a `hidden beast` number, since 5 + 0 + 640 + 5 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×506405088² = 512892226304575488, which contains 22 as substring.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6937020 + ... + 6937092.

It is an arithmetic number, because the mean of its divisors is an integer number (4724160).

Almost surely, 2^506405088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506405088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907038720).

506405088 is an abundant number, since it is smaller than the sum of its proper divisors (1307672352).

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

506405088 is a wasteful number, since it uses less digits than its factorization.

506405088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 506405088 is about 22503.4461360921. The cubic root of 506405088 is about 797.0753040553.

The spelling of 506405088 in words is "five hundred six million, four hundred five thousand, eighty-eight".