400882338 has 64 divisors (see below), whose sum is σ = 966349440. Its totient is φ = 122688000.

The previous prime is 400882333. The next prime is 400882357. The reversal of 400882338 is 833288004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (400882333) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 32313 + ... + 42963.

It is an arithmetic number, because the mean of its divisors is an integer number (15099210).

Almost surely, 2^400882338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400882338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483174720).

400882338 is an abundant number, since it is smaller than the sum of its proper divisors (565467102).

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

400882338 is a wasteful number, since it uses less digits than its factorization.

400882338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10720 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 400882338 is about 20022.0462990175. The cubic root of 400882338 is about 737.3476620333.

The spelling of 400882338 in words is "four hundred million, eight hundred eighty-two thousand, three hundred thirty-eight".