64430400 has 168 divisors, whose sum is σ = 218708224. Its totient is φ = 16588800.

The previous prime is 64430347. The next prime is 64430413. The reversal of 64430400 is 403446.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148584 + ... + 149016.

Almost surely, 2^64430400 is an apocalyptic number.

64430400 is a gapful number since it is divisible by the number (60) 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 64430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109354112).

64430400 is an abundant number, since it is smaller than the sum of its proper divisors (154277824).

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

64430400 is a wasteful number, since it uses less digits than its factorization.

64430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 64430400 is about 8026.8549258100. The cubic root of 64430400 is about 400.8946641151.

Adding to 64430400 its reverse (403446), we get a palindrome (64833846).

The spelling of 64430400 in words is "sixty-four million, four hundred thirty thousand, four hundred".