649479600 has 720 divisors, whose sum is σ = 2944811520. Its totient is φ = 133056000.

The previous prime is 649479587. The next prime is 649479601. The reversal of 649479600 is 6974946.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (649479601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9147565 + ... + 9147635.

It is an arithmetic number, because the mean of its divisors is an integer number (4090016).

Almost surely, 2^649479600 is an apocalyptic number.

649479600 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 649479600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472405760).

649479600 is an abundant number, since it is smaller than the sum of its proper divisors (2295331920).

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

649479600 is a wasteful number, since it uses less digits than its factorization.

649479600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 649479600 is about 25484.8896407263. The cubic root of 649479600 is about 866.0078688346.

It can be divided in two parts, 64947 and 9600, that added together give a palindrome (74547).

The spelling of 649479600 in words is "six hundred forty-nine million, four hundred seventy-nine thousand, six hundred".