4306666400 has 108 divisors (see below), whose sum is σ = 10746511398. Its totient is φ = 1685322240.

The previous prime is 4306666387. The next prime is 4306666411. The reversal of 4306666400 is 46666034.

It can be written as a sum of positive squares in 3 ways, for example, as 4013982736 + 292683664 = 63356^2 + 17108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1765982 + ... + 1768418.

Almost surely, 2^4306666400 is an apocalyptic number.

4306666400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4306666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373255699).

4306666400 is an abundant number, since it is smaller than the sum of its proper divisors (6439844998).

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

4306666400 is a wasteful number, since it uses less digits than its factorization.

4306666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The square root of 4306666400 is about 65625.1963806585. The cubic root of 4306666400 is about 1626.9732431508.

The spelling of 4306666400 in words is "four billion, three hundred six million, six hundred sixty-six thousand, four hundred".