407406006 has 24 divisors (see below), whose sum is σ = 1008815184. Its totient is φ = 116401680.

The previous prime is 407405993. The next prime is 407406049. The reversal of 407406006 is 600604704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1616565 + ... + 1616816.

It is an arithmetic number, because the mean of its divisors is an integer number (42033966).

Almost surely, 2^407406006 is an apocalyptic number.

407406006 is an abundant number, since it is smaller than the sum of its proper divisors (601409178).

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

407406006 is a wasteful number, since it uses less digits than its factorization.

407406006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233396 (or 3233393 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 407406006 is about 20184.3009787310. The cubic root of 407406006 is about 741.3258468458.

The spelling of 407406006 in words is "four hundred seven million, four hundred six thousand, six".