506427300 has 108 divisors (see below), whose sum is σ = 1604009316. Its totient is φ = 133632000.

The previous prime is 506427293. The next prime is 506427301. The reversal of 506427300 is 3724605.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12787776 + 493639524 = 3576^2 + 22218^2 .

It is a super-2 number, since 2×506427300² = 512937220370580000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506427301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84400 + ... + 90200.

Almost surely, 2^506427300 is an apocalyptic number.

506427300 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 506427300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802004658).

506427300 is an abundant number, since it is smaller than the sum of its proper divisors (1097582016).

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

506427300 is a wasteful number, since it uses less digits than its factorization.

506427300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 506427300 is about 22503.9396550915. The cubic root of 506427300 is about 797.0869576887.

The spelling of 506427300 in words is "five hundred six million, four hundred twenty-seven thousand, three hundred".