400205330 has 32 divisors (see below), whose sum is σ = 871710336. Its totient is φ = 129141504.

The previous prime is 400205297. The next prime is 400205363. The reversal of 400205330 is 33502004.

It is an interprime number because it is at equal distance from previous prime (400205297) and next prime (400205363).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 400205299 and 400205308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166964 + ... + 169343.

It is an arithmetic number, because the mean of its divisors is an integer number (27240948).

Almost surely, 2^400205330 is an apocalyptic number.

400205330 is an abundant number, since it is smaller than the sum of its proper divisors (471505006).

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

400205330 is a wasteful number, since it uses less digits than its factorization.

400205330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336338.

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 400205330 is about 20005.1325914126. The cubic root of 400205330 is about 736.9323518599.

Adding to 400205330 its reverse (33502004), we get a palindrome (433707334).

The spelling of 400205330 in words is "four hundred million, two hundred five thousand, three hundred thirty".