400832766 has 64 divisors (see below), whose sum is σ = 968708160. Its totient is φ = 122342400.

The previous prime is 400832723. The next prime is 400832767. The reversal of 400832766 is 667238004.

It is a self number, because there is not a number n which added to its sum of digits gives 400832766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400832767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28066 + ... + 39866.

It is an arithmetic number, because the mean of its divisors is an integer number (15136065).

Almost surely, 2^400832766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400832766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484354080).

400832766 is an abundant number, since it is smaller than the sum of its proper divisors (567875394).

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

400832766 is a wasteful number, since it uses less digits than its factorization.

400832766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11866 (or 11860 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 400832766 is about 20020.8083253399. The cubic root of 400832766 is about 737.3172679903.

It can be divided in two parts, 40083 and 2766, that added together give a square (42849 = 207²).

The spelling of 400832766 in words is "four hundred million, eight hundred thirty-two thousand, seven hundred sixty-six".