503798400 has 768 divisors, whose sum is σ = 2276640000. Its totient is φ = 108380160.

The previous prime is 503798389. The next prime is 503798413. The reversal of 503798400 is 4897305.

503798400 is a `hidden beast` number, since 503 + 79 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 29635192 + ... + 29635208.

It is an arithmetic number, because the mean of its divisors is an integer number (2964375).

Almost surely, 2^503798400 is an apocalyptic number.

503798400 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 503798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138320000).

503798400 is an abundant number, since it is smaller than the sum of its proper divisors (1772841600).

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

503798400 is a wasteful number, since it uses less digits than its factorization.

503798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 503798400 is about 22445.4538826908. The cubic root of 503798400 is about 795.7053192362.

The spelling of 503798400 in words is "five hundred three million, seven hundred ninety-eight thousand, four hundred".