502740000 has 720 divisors, whose sum is σ = 2243656800. Its totient is φ = 108864000.

The previous prime is 502739983. The next prime is 502740001. The reversal of 502740000 is 47205.

It is a happy number.

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 (18).

It is not an unprimeable number, because it can be changed into a prime (502740001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26459991 + ... + 26460009.

It is an arithmetic number, because the mean of its divisors is an integer number (3116190).

Almost surely, 2^502740000 is an apocalyptic number.

502740000 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 502740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121828400).

502740000 is an abundant number, since it is smaller than the sum of its proper divisors (1740916800).

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

502740000 is a wasteful number, since it uses less digits than its factorization.

502740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 502740000 is about 22421.8643292658. The cubic root of 502740000 is about 795.1477119623.

Adding to 502740000 its reverse (47205), we get a palindrome (502787205).

The spelling of 502740000 in words is "five hundred two million, seven hundred forty thousand".