400024008 has 80 divisors (see below), whose sum is σ = 1186378380. Its totient is φ = 125494272.

The previous prime is 400023997. The next prime is 400024021. The reversal of 400024008 is 800420004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 398481444 + 1542564 = 19962^2 + 1242^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7141 + ... + 29172.

Almost surely, 2^400024008 is an apocalyptic number.

It is an amenable number.

400024008 is an abundant number, since it is smaller than the sum of its proper divisors (786354372).

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

400024008 is a wasteful number, since it uses less digits than its factorization.

400024008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36348 (or 36335 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 400024008 is about 20000.6001909943. The cubic root of 400024008 is about 736.8210404712.

The spelling of 400024008 in words is "four hundred million, twenty-four thousand, eight".