705058464 has 96 divisors (see below), whose sum is σ = 2033035200. Its totient is φ = 212172800.

The previous prime is 705058447. The next prime is 705058481. The reversal of 705058464 is 464850507.

It is an interprime number because it is at equal distance from previous prime (705058447) and next prime (705058481).

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 155104 + ... + 159584.

It is an arithmetic number, because the mean of its divisors is an integer number (21177450).

Almost surely, 2^705058464 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 705058464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016517600).

705058464 is an abundant number, since it is smaller than the sum of its proper divisors (1327976736).

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

705058464 is a wasteful number, since it uses less digits than its factorization.

705058464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 705058464 is about 26552.9370126922. The cubic root of 705058464 is about 890.0376468526.

The spelling of 705058464 in words is "seven hundred five million, fifty-eight thousand, four hundred sixty-four".