407126016 has 180 divisors, whose sum is σ = 1288136304. Its totient is φ = 122880000.

The previous prime is 407126011. The next prime is 407126029. The reversal of 407126016 is 610621704.

407126016 is a `hidden beast` number, since 40 + 7 + 12 + 601 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (407126011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1621891 + ... + 1622141.

Almost surely, 2^407126016 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 407126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644068152).

407126016 is an abundant number, since it is smaller than the sum of its proper divisors (881010288).

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

407126016 is a wasteful number, since it uses less digits than its factorization.

407126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 407126016 is about 20177.3639507246. The cubic root of 407126016 is about 741.1559823957.

The spelling of 407126016 in words is "four hundred seven million, one hundred twenty-six thousand, sixteen".