400203414 has 48 divisors (see below), whose sum is σ = 945672000. Its totient is φ = 121575168.

The previous prime is 400203407. The next prime is 400203437. The reversal of 400203414 is 414302004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7662 + ... + 29310.

It is an arithmetic number, because the mean of its divisors is an integer number (19701500).

Almost surely, 2^400203414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400203414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472836000).

400203414 is an abundant number, since it is smaller than the sum of its proper divisors (545468586).

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

400203414 is a wasteful number, since it uses less digits than its factorization.

400203414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21749 (or 21746 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 400203414 is about 20005.0847036447. The cubic root of 400203414 is about 736.9311758264.

Adding to 400203414 its reverse (414302004), we get a palindrome (814505418).

It can be divided in two parts, 40020 and 3414, that added together give a palindrome (43434).

The spelling of 400203414 in words is "four hundred million, two hundred three thousand, four hundred fourteen".