400503420 has 96 divisors (see below), whose sum is σ = 1252608000. Its totient is φ = 106235712.

The previous prime is 400503409. The next prime is 400503437. The reversal of 400503420 is 24305004.

It is a happy number.

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 = 400503393 and 400503402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105597 + ... + 109323.

It is an arithmetic number, because the mean of its divisors is an integer number (13048000).

Almost surely, 2^400503420 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 400503420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626304000).

400503420 is an abundant number, since it is smaller than the sum of its proper divisors (852104580).

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

400503420 is a wasteful number, since it uses less digits than its factorization.

400503420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 400503420 is about 20012.5815426196. The cubic root of 400503420 is about 737.1152726678.

Adding to 400503420 its reverse (24305004), we get a palindrome (424808424).

The spelling of 400503420 in words is "four hundred million, five hundred three thousand, four hundred twenty".