650742400 has 384 divisors, whose sum is σ = 2124864000. Its totient is φ = 190771200.

The previous prime is 650742377. The next prime is 650742403. The reversal of 650742400 is 4247056.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (650742403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4681531 + ... + 4681669.

It is an arithmetic number, because the mean of its divisors is an integer number (5533500).

Almost surely, 2^650742400 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 650742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062432000).

650742400 is an abundant number, since it is smaller than the sum of its proper divisors (1474121600).

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

650742400 is a wasteful number, since it uses less digits than its factorization.

650742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 650742400 is about 25509.6530748656. The cubic root of 650742400 is about 866.5687726378.

Adding to 650742400 its reverse (4247056), we get a palindrome (654989456).

The spelling of 650742400 in words is "six hundred fifty million, seven hundred forty-two thousand, four hundred".