407253311856 has 120 divisors (see below), whose sum is σ = 1229557352400. Its totient is φ = 125355030528.

The previous prime is 407253311851. The next prime is 407253311867. The reversal of 407253311856 is 658113352704.

It is a happy number.

407253311856 is a `hidden beast` number, since 4 + 0 + 7 + 253 + 311 + 85 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407253311851) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1439706 + ... + 1699193.

It is an arithmetic number, because the mean of its divisors is an integer number (10246311270).

Almost surely, 2^407253311856 is an apocalyptic number.

It is an amenable number.

407253311856 is an abundant number, since it is smaller than the sum of its proper divisors (822304040544).

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

407253311856 is a wasteful number, since it uses less digits than its factorization.

407253311856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138983 (or 3138974 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 407253311856 in words is "four hundred seven billion, two hundred fifty-three million, three hundred eleven thousand, eight hundred fifty-six".