701190400 has 81 divisors (see below), whose sum is σ = 1740815013. Its totient is φ = 279628800.

The previous prime is 701190341. The next prime is 701190401. The reversal of 701190400 is 4091107.

The square root of 701190400 is 26480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 252428544 + 448761856 = 15888^2 + 21184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (701190401) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2118235 + ... + 2118565.

Almost surely, 2^701190400 is an apocalyptic number.

701190400 is the 26480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 701190400

701190400 is an abundant number, since it is smaller than the sum of its proper divisors (1039624613).

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

701190400 is an frugal number, since it uses more digits than its factorization.

701190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The cubic root of 701190400 is about 888.4070314299.

The spelling of 701190400 in words is "seven hundred one million, one hundred ninety thousand, four hundred".