5340902400 has 264 divisors, whose sum is σ = 19615827840. Its totient is φ = 1424056320.

The previous prime is 5340902377. The next prime is 5340902401. The reversal of 5340902400 is 42090435.

5340902400 is a `hidden beast` number, since 534 + 0 + 90 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340902401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687337 + ... + 695063.

Almost surely, 2^5340902400 is an apocalyptic number.

5340902400 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 5340902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9807913920).

5340902400 is an abundant number, since it is smaller than the sum of its proper divisors (14274925440).

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

5340902400 is a wasteful number, since it uses less digits than its factorization.

5340902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7737 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5340902400 is about 73081.4778175702. The cubic root of 5340902400 is about 1747.9870623769.

Adding to 5340902400 its reverse (42090435), we get a palindrome (5382992835).

The spelling of 5340902400 in words is "five billion, three hundred forty million, nine hundred two thousand, four hundred".