52008400 has 30 divisors (see below), whose sum is σ = 124951142. Its totient is φ = 20803200.

The previous prime is 52008391. The next prime is 52008409. The reversal of 52008400 is 480025.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52008391) and next prime (52008409).

It can be written as a sum of positive squares in 3 ways, for example, as 341056 + 51667344 = 584^2 + 7188^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52008409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64611 + ... + 65410.

Almost surely, 2^52008400 is an apocalyptic number.

52008400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52008400 is an abundant number, since it is smaller than the sum of its proper divisors (72942742).

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

52008400 is a wasteful number, since it uses less digits than its factorization.

52008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130039 (or 130028 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 52008400 is about 7211.6849626145. The cubic root of 52008400 is about 373.2712127366.

Adding to 52008400 its reverse (480025), we get a palindrome (52488425).

The spelling of 52008400 in words is "fifty-two million, eight thousand, four hundred".