400680289 has 9 divisors (see below), whose sum is σ = 412564761. Its totient is φ = 389130480.

The previous prime is 400680233. The next prime is 400680299. The reversal of 400680289 is 982086004.

The square root of 400680289 is 20017.

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

It can be written as a sum of positive squares in 4 ways, for example, as 47541025 + 353139264 = 6895^2 + 18792^2 .

It is not a de Polignac number, because 400680289 - 2¹¹ = 400678241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400680229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 740359 + ... + 740899.

It is an arithmetic number, because the mean of its divisors is an integer number (45840529).

Almost surely, 2^400680289 is an apocalyptic number.

400680289 is the 20017-th square number.

400680289 is the 10009-th centered octagonal number.

It is an amenable number.

400680289 is a deficient number, since it is larger than the sum of its proper divisors (11884472).

400680289 is an frugal number, since it uses more digits than its factorization.

400680289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The cubic root of 400680289 is about 737.2237641711.

The spelling of 400680289 in words is "four hundred million, six hundred eighty thousand, two hundred eighty-nine".