406062801 has 15 divisors (see below), whose sum is σ = 606858681. Its totient is φ = 270587628.

The previous prime is 406062779. The next prime is 406062841. The reversal of 406062801 is 108260604.

The square root of 406062801 is 20151.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2^k-406062801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (406062841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 180240 + ... + 182478.

Almost surely, 2^406062801 is an apocalyptic number.

406062801 is the 20151-st square number.

406062801 is the 10076-th centered octagonal number.

It is an amenable number.

406062801 is a deficient number, since it is larger than the sum of its proper divisors (200795880).

406062801 is an frugal number, since it uses more digits than its factorization.

406062801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 406062801 is about 740.5102403827.

Multiplying 406062801 by its product of nonzero digits (2304), we get a square (935568693504 = 967248²).

The spelling of 406062801 in words is "four hundred six million, sixty-two thousand, eight hundred one".