654130400 has 432 divisors, whose sum is σ = 2132019792. Its totient is φ = 193536000.

The previous prime is 654130381. The next prime is 654130417. The reversal of 654130400 is 4031456.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 15954380 + ... + 15954420.

It is an arithmetic number, because the mean of its divisors is an integer number (4935231).

Almost surely, 2^654130400 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 654130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066009896).

654130400 is an abundant number, since it is smaller than the sum of its proper divisors (1477889392).

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

654130400 is a wasteful number, since it uses less digits than its factorization.

654130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 654130400 is about 25575.9730997669. The cubic root of 654130400 is about 868.0700602485.

Adding to 654130400 its reverse (4031456), we get a palindrome (658161856).

The spelling of 654130400 in words is "six hundred fifty-four million, one hundred thirty thousand, four hundred".