407141856 has 96 divisors (see below), whose sum is σ = 1295481600. Its totient is φ = 123373440.

The previous prime is 407141851. The next prime is 407141863. The reversal of 407141856 is 658141704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 407141856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407141851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11916 + ... + 30923.

It is an arithmetic number, because the mean of its divisors is an integer number (13494600).

Almost surely, 2^407141856 is an apocalyptic number.

It is an amenable number.

407141856 is an abundant number, since it is smaller than the sum of its proper divisors (888339744).

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

407141856 is a wasteful number, since it uses less digits than its factorization.

407141856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42869 (or 42855 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 407141856 is about 20177.7564659701. The cubic root of 407141856 is about 741.1655942915.

The spelling of 407141856 in words is "four hundred seven million, one hundred forty-one thousand, eight hundred fifty-six".