400394016 has 288 divisors, whose sum is σ = 1338494976. Its totient is φ = 116640000.

The previous prime is 400394003. The next prime is 400394017. The reversal of 400394016 is 610493004.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (400394017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2651541 + ... + 2651691.

It is an arithmetic number, because the mean of its divisors is an integer number (4647552).

Almost surely, 2^400394016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400394016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669247488).

400394016 is an abundant number, since it is smaller than the sum of its proper divisors (938100960).

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

400394016 is a wasteful number, since it uses less digits than its factorization.

400394016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 400394016 is about 20009.8479754345. The cubic root of 400394016 is about 737.0481482278.

The spelling of 400394016 in words is "four hundred million, three hundred ninety-four thousand, sixteen".