407242474704 has 60 divisors (see below), whose sum is σ = 1227383575236. Its totient is φ = 125305376256.

The previous prime is 407242474699. The next prime is 407242474739. The reversal of 407242474704 is 407474242704.

407242474704 is a `hidden beast` number, since 4 + 0 + 72 + 42 + 474 + 70 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 262812073104 + 144430401600 = 512652^2 + 380040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 407242474704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108770157 + ... + 108773900.

Almost surely, 2^407242474704 is an apocalyptic number.

It is an amenable number.

407242474704 is an abundant number, since it is smaller than the sum of its proper divisors (820141100532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407242474704 is a wasteful number, since it uses less digits than its factorization.

407242474704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217544084 (or 217544075 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 45.

The spelling of 407242474704 in words is "four hundred seven billion, two hundred forty-two million, four hundred seventy-four thousand, seven hundred four".