705934440 has 224 divisors, whose sum is σ = 2441149920. Its totient is φ = 183544704.

The previous prime is 705934429. The next prime is 705934447. The reversal of 705934440 is 44439507.

It is a super-2 number, since 2×705934440² = 996686867156227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 705934395 and 705934404.

It is not an unprimeable number, because it can be changed into a prime (705934447) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1253599 + ... + 1254161.

Almost surely, 2^705934440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705934440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220574960).

705934440 is an abundant number, since it is smaller than the sum of its proper divisors (1735215480).

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

705934440 is a wasteful number, since it uses less digits than its factorization.

705934440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 705934440 is about 26569.4267909566. The cubic root of 705934440 is about 890.4060933462.

The spelling of 705934440 in words is "seven hundred five million, nine hundred thirty-four thousand, four hundred forty".