407193138 has 48 divisors (see below), whose sum is σ = 967917600. Its totient is φ = 122691840.

The previous prime is 407193121. The next prime is 407193139. The reversal of 407193138 is 831391704.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (407193139) 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 23 ways as a sum of consecutive naturals, for example, 29698 + ... + 41186.

It is an arithmetic number, because the mean of its divisors is an integer number (20164950).

Almost surely, 2^407193138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407193138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483958800).

407193138 is an abundant number, since it is smaller than the sum of its proper divisors (560724462).

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

407193138 is a wasteful number, since it uses less digits than its factorization.

407193138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11687 (or 11684 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 407193138 is about 20179.0271817053. The cubic root of 407193138 is about 741.1967110941.

The spelling of 407193138 in words is "four hundred seven million, one hundred ninety-three thousand, one hundred thirty-eight".