706304480 has 96 divisors (see below), whose sum is σ = 2007452160. Its totient is φ = 229409280.

The previous prime is 706304449. The next prime is 706304503. The reversal of 706304480 is 84403607.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4685 + ... + 37875.

It is an arithmetic number, because the mean of its divisors is an integer number (20910960).

Almost surely, 2^706304480 is an apocalyptic number.

706304480 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 706304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003726080).

706304480 is an abundant number, since it is smaller than the sum of its proper divisors (1301147680).

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

706304480 is a wasteful number, since it uses less digits than its factorization.

706304480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33232 (or 33224 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 706304480 is about 26576.3895215283. The cubic root of 706304480 is about 890.5616452399.

The spelling of 706304480 in words is "seven hundred six million, three hundred four thousand, four hundred eighty".