400466768 has 20 divisors (see below), whose sum is σ = 835589748. Its totient is φ = 184830720.

The previous prime is 400466761. The next prime is 400466779. The reversal of 400466768 is 867664004.

It can be written as a sum of positive squares in 2 ways, for example, as 87459904 + 313006864 = 9352^2 + 17692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400466761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 962453 + ... + 962868.

Almost surely, 2^400466768 is an apocalyptic number.

It is an amenable number.

400466768 is an abundant number, since it is smaller than the sum of its proper divisors (435122980).

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

400466768 is a wasteful number, since it uses less digits than its factorization.

400466768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925342 (or 1925336 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 400466768 is about 20011.6657977291. The cubic root of 400466768 is about 737.0927863237.

The spelling of 400466768 in words is "four hundred million, four hundred sixty-six thousand, seven hundred sixty-eight".