649806480 has 120 divisors (see below), whose sum is σ = 2257589880. Its totient is φ = 167301120.

The previous prime is 649806473. The next prime is 649806523. The reversal of 649806480 is 84608946.

It is a happy number.

649806480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 76108176 + 573698304 = 8724^2 + 23952^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×649806480² = 844496922899980800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5320 + ... + 36440.

It is an arithmetic number, because the mean of its divisors is an integer number (18813249).

Almost surely, 2^649806480 is an apocalyptic number.

649806480 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 649806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128794940).

649806480 is an abundant number, since it is smaller than the sum of its proper divisors (1607783400).

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

649806480 is a wasteful number, since it uses less digits than its factorization.

649806480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31169 (or 31160 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 649806480 is about 25491.3020459921. The cubic root of 649806480 is about 866.1531303508.

It can be divided in two parts, 64980 and 6480, that multiplied together give a square (421070400 = 20520²).

The spelling of 649806480 in words is "six hundred forty-nine million, eight hundred six thousand, four hundred eighty".