400050414 has 72 divisors (see below), whose sum is σ = 922298520. Its totient is φ = 130065264.

The previous prime is 400050403. The next prime is 400050419. The reversal of 400050414 is 414050004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400050419) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 563892 + ... + 564600.

Almost surely, 2^400050414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400050414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461149260).

400050414 is an abundant number, since it is smaller than the sum of its proper divisors (522248106).

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

400050414 is an frugal number, since it uses more digits than its factorization.

400050414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 400050414 is about 20001.2603102904. The cubic root of 400050414 is about 736.8372528884.

The spelling of 400050414 in words is "four hundred million, fifty thousand, four hundred fourteen".