247661406 has 48 divisors (see below), whose sum is σ = 575999424. Its totient is φ = 76626432.

The previous prime is 247661399. The next prime is 247661431. The reversal of 247661406 is 604166742.

247661406 is a `hidden beast` number, since 247 + 6 + 6 + 1 + 406 = 666.

247661406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×247661406² = 122672344043793672, which contains 22 as substring.

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, 16795 + ... + 27881.

It is an arithmetic number, because the mean of its divisors is an integer number (11999988).

Almost surely, 2^247661406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247661406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287999712).

247661406 is an abundant number, since it is smaller than the sum of its proper divisors (328338018).

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

247661406 is a wasteful number, since it uses less digits than its factorization.

247661406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11185 (or 11182 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 247661406 is about 15737.2617059004. The cubic root of 247661406 is about 627.9900721246.

The spelling of 247661406 in words is "two hundred forty-seven million, six hundred sixty-one thousand, four hundred six".