503350400 has 192 divisors, whose sum is σ = 1484369280. Its totient is φ = 164904960.

The previous prime is 503350349. The next prime is 503350411. The reversal of 503350400 is 4053305.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514712 + ... + 515688.

It is an arithmetic number, because the mean of its divisors is an integer number (7731090).

Almost surely, 2^503350400 is an apocalyptic number.

503350400 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 503350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742184640).

503350400 is an abundant number, since it is smaller than the sum of its proper divisors (981018880).

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

503350400 is a wasteful number, since it uses less digits than its factorization.

503350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 503350400 is about 22435.4719139135. The cubic root of 503350400 is about 795.4693904069.

The spelling of 503350400 in words is "five hundred three million, three hundred fifty thousand, four hundred".