400214320 has 80 divisors (see below), whose sum is σ = 1019032992. Its totient is φ = 144967680.

The previous prime is 400214303. The next prime is 400214377. The reversal of 400214320 is 23412004.

400214320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 400214294 and 400214303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274714 + ... + 276166.

Almost surely, 2^400214320 is an apocalyptic number.

400214320 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 400214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509516496).

400214320 is an abundant number, since it is smaller than the sum of its proper divisors (618818672).

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

400214320 is a wasteful number, since it uses less digits than its factorization.

400214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 400214320 is about 20005.3572824881. The cubic root of 400214320 is about 736.9378698376.

Adding to 400214320 its reverse (23412004), we get a palindrome (423626324).

The spelling of 400214320 in words is "four hundred million, two hundred fourteen thousand, three hundred twenty".