407138940 has 192 divisors, whose sum is σ = 1388620800. Its totient is φ = 98419968.

The previous prime is 407138891. The next prime is 407138947. The reversal of 407138940 is 49831704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 407138895 and 407138904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407138947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413689 + ... + 414671.

It is an arithmetic number, because the mean of its divisors is an integer number (7232400).

Almost surely, 2^407138940 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 407138940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694310400).

407138940 is an abundant number, since it is smaller than the sum of its proper divisors (981481860).

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

407138940 is a wasteful number, since it uses less digits than its factorization.

407138940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 407138940 is about 20177.6842080552. The cubic root of 407138940 is about 741.1638248476.

The spelling of 407138940 in words is "four hundred seven million, one hundred thirty-eight thousand, nine hundred forty".