400022016 has 120 divisors (see below), whose sum is σ = 1105232832. Its totient is φ = 128563200.

The previous prime is 400021987. The next prime is 400022017. The reversal of 400022016 is 610220004.

It is a super-2 number, since 2×400022016² = 320035226569408512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400021986 and 400022004.

It is not an unprimeable number, because it can be changed into a prime (400022017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1475961 + ... + 1476231.

Almost surely, 2^400022016 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 400022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552616416).

400022016 is an abundant number, since it is smaller than the sum of its proper divisors (705210816).

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

400022016 is an equidigital number, since it uses as much as digits as its factorization.

400022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 400022016 is about 20000.5503924267. The cubic root of 400022016 is about 736.8198174197.

The spelling of 400022016 in words is "four hundred million, twenty-two thousand, sixteen".