400460864 has 28 divisors (see below), whose sum is σ = 800482524. Its totient is φ = 198764544.

The previous prime is 400460861. The next prime is 400460867. The reversal of 400460864 is 468064004.

It is an interprime number because it is at equal distance from previous prime (400460861) and next prime (400460867).

It can be written as a sum of positive squares in 2 ways, for example, as 316555264 + 83905600 = 17792^2 + 9160^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 400460864.

It is not an unprimeable number, because it can be changed into a prime (400460861) 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, 14069 + ... + 31604.

Almost surely, 2^400460864 is an apocalyptic number.

It is an amenable number.

400460864 is a deficient number, since it is larger than the sum of its proper divisors (400021660).

400460864 is a wasteful number, since it uses less digits than its factorization.

400460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45822 (or 45812 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 400460864 is about 20011.5182832288. The cubic root of 400460864 is about 737.0891640363.

The spelling of 400460864 in words is "four hundred million, four hundred sixty thousand, eight hundred sixty-four".