504098100 has 216 divisors, whose sum is σ = 1782455360. Its totient is φ = 122126400.

The previous prime is 504098057. The next prime is 504098129. The reversal of 504098100 is 1890405.

It is a super-2 number, since 2×504098100² = 508229788847220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 325929 + ... + 327471.

Almost surely, 2^504098100 is an apocalyptic number.

504098100 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 504098100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891227680).

504098100 is an abundant number, since it is smaller than the sum of its proper divisors (1278357260).

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

504098100 is a wasteful number, since it uses less digits than its factorization.

504098100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 504098100 is about 22452.1290749897. The cubic root of 504098100 is about 795.8630712339.

The spelling of 504098100 in words is "five hundred four million, ninety-eight thousand, one hundred".