504798000 has 480 divisors, whose sum is σ = 2024388288. Its totient is φ = 107520000.

The previous prime is 504797989. The next prime is 504798011. The reversal of 504798000 is 897405.

It is an interprime number because it is at equal distance from previous prime (504797989) and next prime (504798011).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4997950 + ... + 4998050.

Almost surely, 2^504798000 is an apocalyptic number.

504798000 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 504798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012194144).

504798000 is an abundant number, since it is smaller than the sum of its proper divisors (1519590288).

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

504798000 is a wasteful number, since it uses less digits than its factorization.

504798000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 504798000 is about 22467.7101636994. The cubic root of 504798000 is about 796.2312316954.

The spelling of 504798000 in words is "five hundred four million, seven hundred ninety-eight thousand".