506943360 has 640 divisors, whose sum is σ = 2274877440. Its totient is φ = 104509440.

The previous prime is 506943347. The next prime is 506943379. The reversal of 506943360 is 63349605.

506943360 is a `hidden beast` number, since 506 + 94 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 3991617 + ... + 3991743.

It is an arithmetic number, because the mean of its divisors is an integer number (3554496).

Almost surely, 2^506943360 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 506943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137438720).

506943360 is an abundant number, since it is smaller than the sum of its proper divisors (1767934080).

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

506943360 is a wasteful number, since it uses less digits than its factorization.

506943360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 506943360 is about 22515.4027279105. The cubic root of 506943360 is about 797.3576151957.

The spelling of 506943360 in words is "five hundred six million, nine hundred forty-three thousand, three hundred sixty".