407007126 has 64 divisors (see below), whose sum is σ = 965859840. Its totient is φ = 126735840.

The previous prime is 407007121. The next prime is 407007127. The reversal of 407007126 is 621700704.

It is a super-2 number, since 2×407007126² = 331309601229559752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 407007126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407007121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49596 + ... + 57216.

It is an arithmetic number, because the mean of its divisors is an integer number (15091560).

Almost surely, 2^407007126 is an apocalyptic number.

407007126 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 407007126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482929920).

407007126 is an abundant number, since it is smaller than the sum of its proper divisors (558852714).

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

407007126 is a wasteful number, since it uses less digits than its factorization.

407007126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7698 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 407007126 is about 20174.4176124120. The cubic root of 407007126 is about 741.0838306049.

The spelling of 407007126 in words is "four hundred seven million, seven thousand, one hundred twenty-six".