47430306 has 192 divisors, whose sum is σ = 142490880. Its totient is φ = 11404800.

The previous prime is 47430287. The next prime is 47430353. The reversal of 47430306 is 60303474.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 47430306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 777516 + ... + 777576.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 2^47430306 is an apocalyptic number.

47430306 is the 4356-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47430306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

47430306 is an abundant number, since it is smaller than the sum of its proper divisors (95060574).

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

47430306 is a wasteful number, since it uses less digits than its factorization.

47430306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 47430306 is about 6886.9663858625. The cubic root of 47430306 is about 361.9806110715.

The spelling of 47430306 in words is "forty-seven million, four hundred thirty thousand, three hundred six".