400006260 has 144 divisors (see below), whose sum is σ = 1319821776. Its totient is φ = 97652736.

The previous prime is 400006247. The next prime is 400006267. The reversal of 400006260 is 62600004.

400006260 is a `hidden beast` number, since 40 + 0 + 0 + 0 + 626 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 84162276 + 315843984 = 9174^2 + 17772^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400006267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111454 + ... + 114986.

It is an arithmetic number, because the mean of its divisors is an integer number (9165429).

Almost surely, 2^400006260 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 400006260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659910888).

400006260 is an abundant number, since it is smaller than the sum of its proper divisors (919815516).

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

400006260 is a wasteful number, since it uses less digits than its factorization.

400006260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 400006260 is about 20000.1564993877. The cubic root of 400006260 is about 736.8101433809.

Adding to 400006260 its reverse (62600004), we get a palindrome (462606264).

The spelling of 400006260 in words is "four hundred million, six thousand, two hundred sixty".