506552000 has 112 divisors (see below), whose sum is σ = 1309493952. Its totient is φ = 193740800.

The previous prime is 506551987. The next prime is 506552021. The reversal of 506552000 is 255605.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182624 + ... + 185376.

Almost surely, 2^506552000 is an apocalyptic number.

506552000 is a gapful number since it is divisible by the number (50) 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 506552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654746976).

506552000 is an abundant number, since it is smaller than the sum of its proper divisors (802941952).

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

506552000 is a wasteful number, since it uses less digits than its factorization.

506552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 506552000 is about 22506.7101105426. The cubic root of 506552000 is about 797.1523758224.

The spelling of 506552000 in words is "five hundred six million, five hundred fifty-two thousand".