406468727401 has 21 divisors (see below), whose sum is σ = 448050961357. Its totient is φ = 368745590620.

The previous prime is 406468727393. The next prime is 406468727419. The reversal of 406468727401 is 104727864604.

The square root of 406468727401 is 637549.

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

It is not a de Polignac number, because 406468727401 - 2³ = 406468727393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406468227401) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 848577480 + ... + 848577958.

Almost surely, 2^406468727401 is an apocalyptic number.

406468727401 is the 637549-th square number.

406468727401 is the 318775-th centered octagonal number.

It is an amenable number.

406468727401 is a deficient number, since it is larger than the sum of its proper divisors (41582233956).

406468727401 is an frugal number, since it uses more digits than its factorization.

406468727401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

Multiplying 406468727401 by its sum of digits (49), we get a square (19916967642649 = 4462843²).

The spelling of 406468727401 in words is "four hundred six billion, four hundred sixty-eight million, seven hundred twenty-seven thousand, four hundred one".