500774400 has 720 divisors, whose sum is σ = 2216358144. Its totient is φ = 109486080.

The previous prime is 500774387. The next prime is 500774401. The reversal of 500774400 is 4477005.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500774401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21772789 + ... + 21772811.

Almost surely, 2^500774400 is an apocalyptic number.

500774400 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 500774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108179072).

500774400 is an abundant number, since it is smaller than the sum of its proper divisors (1715583744).

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

500774400 is an equidigital number, since it uses as much as digits as its factorization.

500774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 500774400 is about 22377.9891858049. The cubic root of 500774400 is about 794.1100757448.

The spelling of 500774400 in words is "five hundred million, seven hundred seventy-four thousand, four hundred".