1006466401 has 8 divisors (see below), whose sum is σ = 1032078600. Its totient is φ = 980904960.

The previous prime is 1006466381. The next prime is 1006466437. The reversal of 1006466401 is 1046646001.

It can be written as a sum of positive squares in 4 ways, for example, as 31528225 + 974938176 = 5615^2 + 31224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006466401 - 2¹³ = 1006458209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006466401.

It is not an unprimeable number, because it can be changed into a prime (1006463401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29205 + ... + 53533.

It is an arithmetic number, because the mean of its divisors is an integer number (129009825).

Almost surely, 2^1006466401 is an apocalyptic number.

It is an amenable number.

1006466401 is a deficient number, since it is larger than the sum of its proper divisors (25612199).

1006466401 is a wasteful number, since it uses less digits than its factorization.

1006466401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25379.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1006466401 is about 31724.8546253564. The cubic root of 1006466401 is about 1002.1508375810.

The spelling of 1006466401 in words is "one billion, six million, four hundred sixty-six thousand, four hundred one".