400266560 has 56 divisors (see below), whose sum is σ = 958221096. Its totient is φ = 159252480.

The previous prime is 400266557. The next prime is 400266569. The reversal of 400266560 is 65662004.

It can be written as a sum of positive squares in 4 ways, for example, as 81144064 + 319122496 = 9008^2 + 17864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400266569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58520 + ... + 65000.

It is an arithmetic number, because the mean of its divisors is an integer number (17111091).

Almost surely, 2^400266560 is an apocalyptic number.

400266560 is a gapful number since it is divisible by the number (40) 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 400266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479110548).

400266560 is an abundant number, since it is smaller than the sum of its proper divisors (557954536).

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

400266560 is a wasteful number, since it uses less digits than its factorization.

400266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6691 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 400266560 is about 20006.6628901474. The cubic root of 400266560 is about 736.9699326245.

The spelling of 400266560 in words is "four hundred million, two hundred sixty-six thousand, five hundred sixty".