705296480 has 96 divisors (see below), whose sum is σ = 1912196160. Its totient is φ = 240814080.

The previous prime is 705296467. The next prime is 705296489. The reversal of 705296480 is 84692507.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705296489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300110 + ... + 302450.

It is an arithmetic number, because the mean of its divisors is an integer number (19918710).

Almost surely, 2^705296480 is an apocalyptic number.

705296480 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 705296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956098080).

705296480 is an abundant number, since it is smaller than the sum of its proper divisors (1206899680).

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

705296480 is a wasteful number, since it uses less digits than its factorization.

705296480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 705296480 is about 26557.4185492491. The cubic root of 705296480 is about 890.1377895488.

The spelling of 705296480 in words is "seven hundred five million, two hundred ninety-six thousand, four hundred eighty".