400466020 has 24 divisors (see below), whose sum is σ = 841720824. Its totient is φ = 160045056.

The previous prime is 400465999. The next prime is 400466047. The reversal of 400466020 is 20664004.

It can be written as a sum of positive squares in 4 ways, for example, as 88661056 + 311804964 = 9416^2 + 17658^2 .

It is a junction number, because it is equal to n+sod(n) for n = 400465982 and 400466000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16114 + ... + 32566.

It is an arithmetic number, because the mean of its divisors is an integer number (35071701).

Almost surely, 2^400466020 is an apocalyptic number.

It is an amenable number.

400466020 is an abundant number, since it is smaller than the sum of its proper divisors (441254804).

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

400466020 is a wasteful number, since it uses less digits than its factorization.

400466020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17679 (or 17677 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 400466020 is about 20011.6471086215. The cubic root of 400466020 is about 737.0923274045.

The spelling of 400466020 in words is "four hundred million, four hundred sixty-six thousand, twenty".