1020400424 has 32 divisors (see below), whose sum is σ = 1959562920. Its totient is φ = 497995776.

The previous prime is 1020400417. The next prime is 1020400463. The reversal of 1020400424 is 4240040201.

It can be written as a sum of positive squares in 4 ways, for example, as 1004256100 + 16144324 = 31690^2 + 4018^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47642 + ... + 65654.

Almost surely, 2^1020400424 is an apocalyptic number.

It is an amenable number.

1020400424 is a deficient number, since it is larger than the sum of its proper divisors (939162496).

1020400424 is a wasteful number, since it uses less digits than its factorization.

1020400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18189 (or 18185 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1020400424 is about 31943.7071111041. The cubic root of 1020400424 is about 1006.7544164744.

Adding to 1020400424 its reverse (4240040201), we get a palindrome (5260440625).

The spelling of 1020400424 in words is "one billion, twenty million, four hundred thousand, four hundred twenty-four".