503252400 has 240 divisors, whose sum is σ = 1858158848. Its totient is φ = 114048000.

The previous prime is 503252383. The next prime is 503252401. The reversal of 503252400 is 4252305.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (503252401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520235 + ... + 1520565.

Almost surely, 2^503252400 is an apocalyptic number.

503252400 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 503252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929079424).

503252400 is an abundant number, since it is smaller than the sum of its proper divisors (1354906448).

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

503252400 is a wasteful number, since it uses less digits than its factorization.

503252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 503252400 is about 22433.2877661746. The cubic root of 503252400 is about 795.4177623164.

It can be divided in two parts, 50325 and 2400, that added together give a palindrome (52725).

The spelling of 503252400 in words is "five hundred three million, two hundred fifty-two thousand, four hundred".