400414224 has 80 divisors (see below), whose sum is σ = 1187031168. Its totient is φ = 113934336.

The previous prime is 400414211. The next prime is 400414247. The reversal of 400414224 is 422414004.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 400414224.

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, 84034 + ... + 88670.

Almost surely, 2^400414224 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 400414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593515584).

400414224 is an abundant number, since it is smaller than the sum of its proper divisors (786616944).

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

400414224 is a wasteful number, since it uses less digits than its factorization.

400414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4912 (or 4906 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 400414224 is about 20010.3529204260. The cubic root of 400414224 is about 737.0605476958.

Adding to 400414224 its reverse (422414004), we get a palindrome (822828228).

The spelling of 400414224 in words is "four hundred million, four hundred fourteen thousand, two hundred twenty-four".