704649312 has 144 divisors (see below), whose sum is σ = 2083929120. Its totient is φ = 225662976.

The previous prime is 704649289. The next prime is 704649317. The reversal of 704649312 is 213946407.

704649312 is a `hidden beast` number, since 7 + 0 + 4 + 649 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×704649312⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (704649317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 948013 + ... + 948755.

It is an arithmetic number, because the mean of its divisors is an integer number (14471730).

Almost surely, 2^704649312 is an apocalyptic number.

704649312 is a gapful number since it is divisible by the number (72) 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 704649312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041964560).

704649312 is an abundant number, since it is smaller than the sum of its proper divisors (1379279808).

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

704649312 is a wasteful number, since it uses less digits than its factorization.

704649312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 704649312 is about 26545.2314361732. The cubic root of 704649312 is about 889.8654478239.

The spelling of 704649312 in words is "seven hundred four million, six hundred forty-nine thousand, three hundred twelve".