504293400 has 288 divisors, whose sum is σ = 1905190560. Its totient is φ = 118609920.

The previous prime is 504293371. The next prime is 504293437. The reversal of 504293400 is 4392405.

It is a super-3 number, since 3×504293400³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537732 + ... + 538668.

It is an arithmetic number, because the mean of its divisors is an integer number (6615245).

Almost surely, 2^504293400 is an apocalyptic number.

504293400 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 504293400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952595280).

504293400 is an abundant number, since it is smaller than the sum of its proper divisors (1400897160).

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

504293400 is a wasteful number, since it uses less digits than its factorization.

504293400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 504293400 is about 22456.4779072766. The cubic root of 504293400 is about 795.9658369386.

The spelling of 504293400 in words is "five hundred four million, two hundred ninety-three thousand, four hundred".