407580966 has 48 divisors (see below), whose sum is σ = 965253744. Its totient is φ = 123532992.

The previous prime is 407580947. The next prime is 407580977. The reversal of 407580966 is 669085704.

407580966 is a `hidden beast` number, since 4 + 0 + 7 + 580 + 9 + 66 = 666.

It is a super-2 number, since 2×407580966² = 332244487690986312, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2680 + ... + 28676.

It is an arithmetic number, because the mean of its divisors is an integer number (20109453).

Almost surely, 2^407580966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407580966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482626872).

407580966 is an abundant number, since it is smaller than the sum of its proper divisors (557672778).

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

407580966 is a wasteful number, since it uses less digits than its factorization.

407580966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26085 (or 26082 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 407580966 is about 20188.6345749285. The cubic root of 407580966 is about 741.4319521444.

The spelling of 407580966 in words is "four hundred seven million, five hundred eighty thousand, nine hundred sixty-six".