400002824 has 64 divisors (see below), whose sum is σ = 825355440. Its totient is φ = 180633600.

The previous prime is 400002817. The next prime is 400002857. The reversal of 400002824 is 428200004.

It can be written as a sum of positive squares in 8 ways, for example, as 71740900 + 328261924 = 8470^2 + 18118^2 .

It is a junction number, because it is equal to n+sod(n) for n = 400002796 and 400002805.

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, 1186784 + ... + 1187120.

Almost surely, 2^400002824 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 400002824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412677720).

400002824 is an abundant number, since it is smaller than the sum of its proper divisors (425352616).

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

400002824 is a wasteful number, since it uses less digits than its factorization.

400002824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 400002824 is about 20000.0705998754. The cubic root of 400002824 is about 736.8080336748.

Adding to 400002824 its reverse (428200004), we get a palindrome (828202828).

It can be divided in two parts, 40000 and 2824, that added together give a palindrome (42824).

The spelling of 400002824 in words is "four hundred million, two thousand, eight hundred twenty-four".