506649600 has 264 divisors, whose sum is σ = 1863097520. Its totient is φ = 134922240.

The previous prime is 506649599. The next prime is 506649641. The reversal of 506649600 is 6946605.

It is a happy number.

506649600 is a `hidden beast` number, since 5 + 0 + 6 + 6 + 49 + 600 = 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 23 ways as a sum of consecutive naturals, for example, 690834 + ... + 691566.

Almost surely, 2^506649600 is an apocalyptic number.

506649600 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 506649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931548760).

506649600 is an abundant number, since it is smaller than the sum of its proper divisors (1356447920).

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

506649600 is a wasteful number, since it uses less digits than its factorization.

506649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 506649600 is about 22508.8782483712. The cubic root of 506649600 is about 797.2035696949.

The spelling of 506649600 in words is "five hundred six million, six hundred forty-nine thousand, six hundred".