705052964 has 144 divisors (see below), whose sum is σ = 1644518400. Its totient is φ = 263894400.

The previous prime is 705052961. The next prime is 705052967. The reversal of 705052964 is 469250507.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (705052961) and next prime (705052967).

It is not an unprimeable number, because it can be changed into a prime (705052961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5146304 + ... + 5146440.

Almost surely, 2^705052964 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 705052964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822259200).

705052964 is an abundant number, since it is smaller than the sum of its proper divisors (939465436).

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

705052964 is a wasteful number, since it uses less digits than its factorization.

705052964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 705052964 is about 26552.8334457926. The cubic root of 705052964 is about 890.0353325198.

The spelling of 705052964 in words is "seven hundred five million, fifty-two thousand, nine hundred sixty-four".