506149560 has 384 divisors, whose sum is σ = 2006484480. Its totient is φ = 112347648.

The previous prime is 506149559. The next prime is 506149571. The reversal of 506149560 is 65941605.

506149560 is a `hidden beast` number, since 50 + 6 + 1 + 49 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2925634 + ... + 2925806.

It is an arithmetic number, because the mean of its divisors is an integer number (5225220).

Almost surely, 2^506149560 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 506149560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003242240).

506149560 is an abundant number, since it is smaller than the sum of its proper divisors (1500334920).

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

506149560 is a wasteful number, since it uses less digits than its factorization.

506149560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 506149560 is about 22497.7678892818. The cubic root of 506149560 is about 796.9412155358.

The spelling of 506149560 in words is "five hundred six million, one hundred forty-nine thousand, five hundred sixty".