506738400 has 432 divisors, whose sum is σ = 1994872320. Its totient is φ = 111283200.

The previous prime is 506738389. The next prime is 506738413. The reversal of 506738400 is 4837605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3645531 + ... + 3645669.

It is an arithmetic number, because the mean of its divisors is an integer number (4617760).

Almost surely, 2^506738400 is an apocalyptic number.

506738400 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 506738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997436160).

506738400 is an abundant number, since it is smaller than the sum of its proper divisors (1488133920).

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

506738400 is a wasteful number, since it uses less digits than its factorization.

506738400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 506738400 is about 22510.8507169320. The cubic root of 506738400 is about 797.2501420147.

The spelling of 506738400 in words is "five hundred six million, seven hundred thirty-eight thousand, four hundred".