1020400461 has 12 divisors (see below), whose sum is σ = 1474191420. Its totient is φ = 680137920.

The previous prime is 1020400417. The next prime is 1020400463. The reversal of 1020400461 is 1640040201.

1020400461 is a `hidden beast` number, since 1 + 0 + 204 + 0 + 0 + 461 = 666.

1020400461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 991305225 + 29095236 = 31485^2 + 5394^2 .

It is not a de Polignac number, because 1020400461 - 2¹¹ = 1020398413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020400463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77035 + ... + 89303.

It is an arithmetic number, because the mean of its divisors is an integer number (122849285).

Almost surely, 2^1020400461 is an apocalyptic number.

It is an amenable number.

1020400461 is a deficient number, since it is larger than the sum of its proper divisors (453790959).

1020400461 is a wasteful number, since it uses less digits than its factorization.

1020400461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21516 (or 21513 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1020400461 is about 31943.7076902479. The cubic root of 1020400461 is about 1006.7544286428.

Adding to 1020400461 its reverse (1640040201), we get a palindrome (2660440662).

The spelling of 1020400461 in words is "one billion, twenty million, four hundred thousand, four hundred sixty-one".