400314330 has 192 divisors, whose sum is σ = 1169925120. Its totient is φ = 94348800.

The previous prime is 400314329. The next prime is 400314331. The reversal of 400314330 is 33413004.

It is an interprime number because it is at equal distance from previous prime (400314329) and next prime (400314331).

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

It is not an unprimeable number, because it can be changed into a prime (400314331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5067231 + ... + 5067309.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^400314330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400314330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

400314330 is an abundant number, since it is smaller than the sum of its proper divisors (769610790).

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

400314330 is a wasteful number, since it uses less digits than its factorization.

400314330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 400314330 is about 20007.8567068040. The cubic root of 400314330 is about 736.9992494655. Note that the first 3 decimals are identical.

Adding to 400314330 its reverse (33413004), we get a palindrome (433727334).

The spelling of 400314330 in words is "four hundred million, three hundred fourteen thousand, three hundred thirty".