5202032400 has 180 divisors, whose sum is σ = 18239829972. Its totient is φ = 1372815360.

The previous prime is 5202032393. The next prime is 5202032431. The reversal of 5202032400 is 42302025.

It can be written as a sum of positive squares in 6 ways, for example, as 45643536 + 5156388864 = 6756^2 + 71808^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×5202032400² = 54122282181299520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 341752 + ... + 356648.

Almost surely, 2^5202032400 is an apocalyptic number.

5202032400 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 5202032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119914986).

5202032400 is an abundant number, since it is smaller than the sum of its proper divisors (13037797572).

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

5202032400 is a wasteful number, since it uses less digits than its factorization.

5202032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15018 (or 15004 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5202032400 is about 72125.1162910674. The cubic root of 5202032400 is about 1732.7038920972.

Adding to 5202032400 its reverse (42302025), we get a palindrome (5244334425).

The spelling of 5202032400 in words is "five billion, two hundred two million, thirty-two thousand, four hundred".