503366400 has 270 divisors, whose sum is σ = 1863091692. Its totient is φ = 134092800.

The previous prime is 503366341. The next prime is 503366401. The reversal of 503366400 is 4663305.

It is a tau number, because it is divible by the number of its divisors (270).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (503366401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 517915 + ... + 518885.

Almost surely, 2^503366400 is an apocalyptic number.

503366400 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 503366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931545846).

503366400 is an abundant number, since it is smaller than the sum of its proper divisors (1359725292).

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

503366400 is an equidigital number, since it uses as much as digits as its factorization.

503366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 503366400 is about 22435.8284892714. The cubic root of 503366400 is about 795.4778188466.

The spelling of 503366400 in words is "five hundred three million, three hundred sixty-six thousand, four hundred".