705847464 has 96 divisors (see below), whose sum is σ = 2206139520. Its totient is φ = 199698048.

The previous prime is 705847459. The next prime is 705847469. The reversal of 705847464 is 464748507.

705847464 is a `hidden beast` number, since 7 + 0 + 584 + 7 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (705847459) and next prime (705847469).

It is a super-3 number, since 3×705847464³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (705847469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45114 + ... + 58710.

It is an arithmetic number, because the mean of its divisors is an integer number (22980620).

Almost surely, 2^705847464 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 705847464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103069760).

705847464 is an abundant number, since it is smaller than the sum of its proper divisors (1500292056).

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

705847464 is a wasteful number, since it uses less digits than its factorization.

705847464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13719 (or 13712 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 705847464 is about 26567.7899720696. The cubic root of 705847464 is about 890.3695237835.

The spelling of 705847464 in words is "seven hundred five million, eight hundred forty-seven thousand, four hundred sixty-four".