407052666 has 48 divisors (see below), whose sum is σ = 923832000. Its totient is φ = 129286080.

The previous prime is 407052589. The next prime is 407052673. The reversal of 407052666 is 666250704.

It is a self number, because there is not a number n which added to its sum of digits gives 407052666.

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, 114585 + ... + 118083.

It is an arithmetic number, because the mean of its divisors is an integer number (19246500).

Almost surely, 2^407052666 is an apocalyptic number.

407052666 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 407052666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461916000).

407052666 is an abundant number, since it is smaller than the sum of its proper divisors (516779334).

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

407052666 is a wasteful number, since it uses less digits than its factorization.

407052666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 407052666 is about 20175.5462379585. The cubic root of 407052666 is about 741.1114695141. Note that the first 3 decimals are identical.

The spelling of 407052666 in words is "four hundred seven million, fifty-two thousand, six hundred sixty-six".