407867130 has 128 divisors (see below), whose sum is σ = 1194393600. Its totient is φ = 98222400.

The previous prime is 407867101. The next prime is 407867183. The reversal of 407867130 is 31768704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566911 + ... + 567629.

It is an arithmetic number, because the mean of its divisors is an integer number (9331200).

Almost surely, 2^407867130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407867130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597196800).

407867130 is an abundant number, since it is smaller than the sum of its proper divisors (786526470).

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

407867130 is a wasteful number, since it uses less digits than its factorization.

407867130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 407867130 is about 20195.7205863024. The cubic root of 407867130 is about 741.6054321928.

The spelling of 407867130 in words is "four hundred seven million, eight hundred sixty-seven thousand, one hundred thirty".