1046006401 has 12 divisors (see below), whose sum is σ = 1160305300. Its totient is φ = 942179040.

The previous prime is 1046006341. The next prime is 1046006407.

1046006401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 846519025 + 199487376 = 29095^2 + 14124^2 .

It is not a de Polignac number, because 1046006401 - 2¹⁷ = 1045875329 is a prime.

It is a super-3 number, since 3×1046006401³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046006407) 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, 26466 + ... + 52843.

Almost surely, 2^1046006401 is an apocalyptic number.

1046006401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1046006401 is a deficient number, since it is larger than the sum of its proper divisors (114298899).

1046006401 is a wasteful number, since it uses less digits than its factorization.

1046006401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79440 (or 79429 counting only the distinct ones).

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

The square root of 1046006401 is about 32342.0222156871. The cubic root of 1046006401 is about 1015.1061230009.

The spelling of 1046006401 in words is "one billion, forty-six million, six thousand, four hundred one".