705049488 has 320 divisors, whose sum is σ = 2422344960. Its totient is φ = 193536000.

The previous prime is 705049463. The next prime is 705049493. The reversal of 705049488 is 884940507.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6239320 + ... + 6239432.

It is an arithmetic number, because the mean of its divisors is an integer number (7569828).

Almost surely, 2^705049488 is an apocalyptic number.

705049488 is a gapful number since it is divisible by the number (78) 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 705049488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211172480).

705049488 is an abundant number, since it is smaller than the sum of its proper divisors (1717295472).

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

705049488 is a wasteful number, since it uses less digits than its factorization.

705049488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 705049488 is about 26552.7679913037. The cubic root of 705049488 is about 890.0338698552.

The spelling of 705049488 in words is "seven hundred five million, forty-nine thousand, four hundred eighty-eight".