506610400 has 36 divisors (see below), whose sum is σ = 1236764592. Its totient is φ = 202643840.

The previous prime is 506610373. The next prime is 506610407. The reversal of 506610400 is 4016605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506610407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315832 + ... + 317431.

It is an arithmetic number, because the mean of its divisors is an integer number (34354572).

Almost surely, 2^506610400 is an apocalyptic number.

506610400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506610400 is an abundant number, since it is smaller than the sum of its proper divisors (730154192).

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

506610400 is a wasteful number, since it uses less digits than its factorization.

506610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633283 (or 633270 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 506610400 is about 22508.0074640116. The cubic root of 506610400 is about 797.1830090116.

The spelling of 506610400 in words is "five hundred six million, six hundred ten thousand, four hundred".