1046413120 has 56 divisors (see below), whose sum is σ = 2496376008. Its totient is φ = 417792000.

The previous prime is 1046413117. The next prime is 1046413141. The reversal of 1046413120 is 213146401.

It can be written as a sum of positive squares in 4 ways, for example, as 360392256 + 686020864 = 18984^2 + 26192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1046413091 and 1046413100.

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 7 ways as a sum of consecutive naturals, for example, 189600 + ... + 195040.

It is an arithmetic number, because the mean of its divisors is an integer number (44578143).

Almost surely, 2^1046413120 is an apocalyptic number.

1046413120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248188004).

1046413120 is an abundant number, since it is smaller than the sum of its proper divisors (1449962888).

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

1046413120 is an equidigital number, since it uses as much as digits as its factorization.

1046413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6049 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1046413120 is about 32348.3093839539. The cubic root of 1046413120 is about 1015.2376739637.

Adding to 1046413120 its reverse (213146401), we get a palindrome (1259559521).

The spelling of 1046413120 in words is "one billion, forty-six million, four hundred thirteen thousand, one hundred twenty".