506991360 has 144 divisors (see below), whose sum is σ = 1671828480. Its totient is φ = 130805760.

The previous prime is 506991349. The next prime is 506991367. The reversal of 506991360 is 63199605.

It is a super-2 number, since 2×506991360² = 514080478229299200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506991367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116911 + ... + 121169.

It is an arithmetic number, because the mean of its divisors is an integer number (11609920).

Almost surely, 2^506991360 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 506991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835914240).

506991360 is an abundant number, since it is smaller than the sum of its proper divisors (1164837120).

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

506991360 is a wasteful number, since it uses less digits than its factorization.

506991360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 506991360 is about 22516.4686396424. The cubic root of 506991360 is about 797.3827803724.

The spelling of 506991360 in words is "five hundred six million, nine hundred ninety-one thousand, three hundred sixty".