400314420 has 192 divisors, whose sum is σ = 1430553600. Its totient is φ = 91912320.

The previous prime is 400314413. The next prime is 400314437. The reversal of 400314420 is 24413004.

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

It is a junction number, because it is equal to n+sod(n) for n = 400314393 and 400314402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111087 + ... + 114633.

It is an arithmetic number, because the mean of its divisors is an integer number (7450800).

Almost surely, 2^400314420 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 400314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715276800).

400314420 is an abundant number, since it is smaller than the sum of its proper divisors (1030239180).

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

400314420 is a wasteful number, since it uses less digits than its factorization.

400314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3587 counting only the distinct ones).

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

The square root of 400314420 is about 20007.8589559203. The cubic root of 400314420 is about 736.9993046970. Note that the first 3 decimals are identical.

Adding to 400314420 its reverse (24413004), we get a palindrome (424727424).

The spelling of 400314420 in words is "four hundred million, three hundred fourteen thousand, four hundred twenty".