65430400 has 192 divisors, whose sum is σ = 194273280. Its totient is φ = 21288960.

The previous prime is 65430373. The next prime is 65430403. The reversal of 65430400 is 403456.

It is a super-2 number, since 2×65430400² = 8562274488320000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65430403) 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, 515137 + ... + 515263.

It is an arithmetic number, because the mean of its divisors is an integer number (1011840).

Almost surely, 2^65430400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97136640).

65430400 is an abundant number, since it is smaller than the sum of its proper divisors (128842880).

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

65430400 is a wasteful number, since it uses less digits than its factorization.

65430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 65430400 is about 8088.9059828879. The cubic root of 65430400 is about 402.9580706212.

Adding to 65430400 its reverse (403456), we get a palindrome (65833856).

The spelling of 65430400 in words is "sixty-five million, four hundred thirty thousand, four hundred".