407000106 has 32 divisors (see below), whose sum is σ = 907994880. Its totient is φ = 135134208.

The previous prime is 407000089. The next prime is 407000107. The reversal of 407000106 is 601000704.

It is a super-2 number, since 2×407000106² = 331298172568022472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (407000107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786 + ... + 28541.

It is an arithmetic number, because the mean of its divisors is an integer number (28374840).

Almost surely, 2^407000106 is an apocalyptic number.

407000106 is an abundant number, since it is smaller than the sum of its proper divisors (500994774).

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

407000106 is a wasteful number, since it uses less digits than its factorization.

407000106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29595 (or 29589 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 407000106 is about 20174.2436289443. The cubic root of 407000106 is about 741.0795698782.

The spelling of 407000106 in words is "four hundred seven million, one hundred six", and thus it is an aban number.