406532484801 has 27 divisors (see below), whose sum is σ = 590081607297. Its totient is φ = 269704377000.

The previous prime is 406532484793. The next prime is 406532484871. The reversal of 406532484801 is 108484235604.

The square root of 406532484801 is 637599.

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

406532484801 is a `hidden beast` number, since 4 + 0 + 65 + 32 + 484 + 80 + 1 = 666.

It is not a de Polignac number, because 406532484801 - 2³ = 406532484793 is a prime.

It is a super-2 number, since 2×406532484801² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406532484871) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 541321176 + ... + 541321926.

Almost surely, 2^406532484801 is an apocalyptic number.

406532484801 is the 637599-th square number.

406532484801 is the 318800-th centered octagonal number.

It is an amenable number.

406532484801 is a deficient number, since it is larger than the sum of its proper divisors (183549122496).

406532484801 is an frugal number, since it uses more digits than its factorization.

406532484801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 406532484801 in words is "four hundred six billion, five hundred thirty-two million, four hundred eighty-four thousand, eight hundred one".