407056 has 40 divisors (see below), whose sum is σ = 902720. Its totient is φ = 176256.

The previous prime is 407047. The next prime is 407059. The reversal of 407056 is 650704.

It is not an unprimeable number, because it can be changed into a prime (407059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3901 + ... + 4003.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2⁴⁰⁷⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451360).

407056 is an abundant number, since it is smaller than the sum of its proper divisors (495664).

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

407056 is a wasteful number, since it uses less digits than its factorization.

407056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 407056 is about 638.0094043194. The cubic root of 407056 is about 74.1113492888. Note that the first 3 decimals are identical.

The spelling of 407056 in words is "four hundred seven thousand, fifty-six".