706467400 has 48 divisors (see below), whose sum is σ = 1649464740. Its totient is φ = 281395200.

The previous prime is 706467383. The next prime is 706467407. The reversal of 706467400 is 4764607.

It can be written as a sum of positive squares in 6 ways, for example, as 580713604 + 125753796 = 24098^2 + 11214^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706467407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40872 + ... + 55528.

Almost surely, 2^706467400 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 706467400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824732370).

706467400 is an abundant number, since it is smaller than the sum of its proper divisors (942997340).

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

706467400 is a wasteful number, since it uses less digits than its factorization.

706467400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14914 (or 14905 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 706467400 is about 26579.4544714522. The cubic root of 706467400 is about 890.6301138929.

The spelling of 706467400 in words is "seven hundred six million, four hundred sixty-seven thousand, four hundred".