502020400 has 120 divisors (see below), whose sum is σ = 1412347104. Its totient is φ = 167884800.

The previous prime is 502020391. The next prime is 502020457. The reversal of 502020400 is 4020205.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112614 + ... + 116986.

Almost surely, 2^502020400 is an apocalyptic number.

502020400 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 502020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706173552).

502020400 is an abundant number, since it is smaller than the sum of its proper divisors (910326704).

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

502020400 is a wasteful number, since it uses less digits than its factorization.

502020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 502020400 is about 22405.8117460627. The cubic root of 502020400 is about 794.7681509483.

Adding to 502020400 its reverse (4020205), we get a palindrome (506040605).

The spelling of 502020400 in words is "five hundred two million, twenty thousand, four hundred".