400022000 has 80 divisors (see below), whose sum is σ = 1105470912. Its totient is φ = 137145600.

The previous prime is 400021987. The next prime is 400022017. The reversal of 400022000 is 220004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 287 + ... + 28286.

Almost surely, 2^400022000 is an apocalyptic number.

400022000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552735456).

400022000 is an abundant number, since it is smaller than the sum of its proper divisors (705448912).

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

400022000 is a wasteful number, since it uses less digits than its factorization.

400022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28603 (or 28587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 400022000 is about 20000.5499924377. The cubic root of 400022000 is about 736.8198075959.

Adding to 400022000 its reverse (220004), we get a palindrome (400242004).

The spelling of 400022000 in words is "four hundred million, twenty-two thousand".