705639480 has 384 divisors, whose sum is σ = 2765145600. Its totient is φ = 140258304.

The previous prime is 705639457. The next prime is 705639497. The reversal of 705639480 is 84936507.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3942031 + ... + 3942209.

It is an arithmetic number, because the mean of its divisors is an integer number (7200900).

Almost surely, 2^705639480 is an apocalyptic number.

705639480 is a gapful number since it is divisible by the number (70) 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 705639480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382572800).

705639480 is an abundant number, since it is smaller than the sum of its proper divisors (2059506120).

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

705639480 is a wasteful number, since it uses less digits than its factorization.

705639480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 705639480 is about 26563.8754702698. The cubic root of 705639480 is about 890.2820635243.

The spelling of 705639480 in words is "seven hundred five million, six hundred thirty-nine thousand, four hundred eighty".