406807007481 has 32 divisors (see below), whose sum is σ = 692235008000. Its totient is φ = 231292979280.

The previous prime is 406807007479. The next prime is 406807007521. The reversal of 406807007481 is 184700708604.

406807007481 is a `hidden beast` number, since 40 + 68 + 0 + 70 + 0 + 7 + 481 = 666.

It is not a de Polignac number, because 406807007481 - 2¹ = 406807007479 is a prime.

It is a super-2 number, since 2×406807007481² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406807007461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5370475 + ... + 5445696.

It is an arithmetic number, because the mean of its divisors is an integer number (21632344000).

Almost surely, 2^406807007481 is an apocalyptic number.

It is an amenable number.

406807007481 is a deficient number, since it is larger than the sum of its proper divisors (285428000519).

406807007481 is a wasteful number, since it uses less digits than its factorization.

406807007481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816386 (or 10816380 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 406807007481 in words is "four hundred six billion, eight hundred seven million, seven thousand, four hundred eighty-one".