506616000 has 448 divisors, whose sum is σ = 1939991040. Its totient is φ = 115200000.

The previous prime is 506615983. The next prime is 506616001. The reversal of 506616000 is 616605.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506616001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5015950 + ... + 5016050.

Almost surely, 2^506616000 is an apocalyptic number.

506616000 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 506616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969995520).

506616000 is an abundant number, since it is smaller than the sum of its proper divisors (1433375040).

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

506616000 is a wasteful number, since it uses less digits than its factorization.

506616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 506616000 is about 22508.1318638398. The cubic root of 506616000 is about 797.1859463170.

The spelling of 506616000 in words is "five hundred six million, six hundred sixteen thousand".