5352402400 has 288 divisors, whose sum is σ = 14705621280. Its totient is φ = 1892352000.

The previous prime is 5352402373. The next prime is 5352402421. The reversal of 5352402400 is 42042535.

It is a super-2 number, since 2×5352402400² = 57296422903051520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16170235 + ... + 16170565.

It is an arithmetic number, because the mean of its divisors is an integer number (51061185).

Almost surely, 2^5352402400 is an apocalyptic number.

5352402400 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 5352402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352810640).

5352402400 is an abundant number, since it is smaller than the sum of its proper divisors (9353218880).

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

5352402400 is a wasteful number, since it uses less digits than its factorization.

5352402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5352402400 is about 73160.1148167497. The cubic root of 5352402400 is about 1749.2407481911.

Adding to 5352402400 its reverse (42042535), we get a palindrome (5394444935).

The spelling of 5352402400 in words is "five billion, three hundred fifty-two million, four hundred two thousand, four hundred".