503534400 has 168 divisors, whose sum is σ = 1724217024. Its totient is φ = 128409600.

The previous prime is 503534393. The next prime is 503534411. The reversal of 503534400 is 4435305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108120 + ... + 112680.

Almost surely, 2^503534400 is an apocalyptic number.

503534400 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 503534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862108512).

503534400 is an abundant number, since it is smaller than the sum of its proper divisors (1220682624).

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

503534400 is a wasteful number, since it uses less digits than its factorization.

503534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 503534400 is about 22439.5721884353. The cubic root of 503534400 is about 795.5663066815.

Adding to 503534400 its reverse (4435305), we get a palindrome (507969705).

The spelling of 503534400 in words is "five hundred three million, five hundred thirty-four thousand, four hundred".