502640000 has 160 divisors (see below), whose sum is σ = 1284151440. Its totient is φ = 195840000.

The previous prime is 502639997. The next prime is 502640011. The reversal of 502640000 is 46205.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4879949 + ... + 4880051.

Almost surely, 2^502640000 is an apocalyptic number.

502640000 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 502640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642075720).

502640000 is an abundant number, since it is smaller than the sum of its proper divisors (781511440).

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

502640000 is an equidigital number, since it uses as much as digits as its factorization.

502640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 502640000 is about 22419.6342521460. The cubic root of 502640000 is about 795.0949875296.

Adding to 502640000 its reverse (46205), we get a palindrome (502686205).

The spelling of 502640000 in words is "five hundred two million, six hundred forty thousand".