407407856 has 40 divisors (see below), whose sum is σ = 840883680. Its totient is φ = 190552064.

The previous prime is 407407853. The next prime is 407407867. The reversal of 407407856 is 658704704.

It is a super-2 number, since 2×407407856² = 331962322261033472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407407853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40940 + ... + 49908.

It is an arithmetic number, because the mean of its divisors is an integer number (21022092).

Almost surely, 2^407407856 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 407407856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420441840).

407407856 is an abundant number, since it is smaller than the sum of its proper divisors (433475824).

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

407407856 is a wasteful number, since it uses less digits than its factorization.

407407856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9161 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 407407856 is about 20184.3468063745. The cubic root of 407407856 is about 741.3269689457.

The spelling of 407407856 in words is "four hundred seven million, four hundred seven thousand, eight hundred fifty-six".