506488100 has 18 divisors (see below), whose sum is σ = 1099079394. Its totient is φ = 202595200.

The previous prime is 506488093. The next prime is 506488109. The reversal of 506488100 is 1884605.

It can be written as a sum of positive squares in 3 ways, for example, as 74097664 + 432390436 = 8608^2 + 20794^2 .

It is a super-2 number, since 2×506488100² = 513060390883220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506488109) 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, 2532341 + ... + 2532540.

Almost surely, 2^506488100 is an apocalyptic number.

506488100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506488100 is an abundant number, since it is smaller than the sum of its proper divisors (592591294).

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

506488100 is a wasteful number, since it uses less digits than its factorization.

506488100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064895 (or 5064888 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 506488100 is about 22505.2904891272. The cubic root of 506488100 is about 797.1188549605.

The spelling of 506488100 in words is "five hundred six million, four hundred eighty-eight thousand, one hundred".