477747072 has 320 divisors, whose sum is σ = 1599523200. Its totient is φ = 140313600.

The previous prime is 477747037. The next prime is 477747079. The reversal of 477747072 is 270747774.

477747072 is a `hidden beast` number, since 47 + 77 + 470 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477747079) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6728797 + ... + 6728867.

It is an arithmetic number, because the mean of its divisors is an integer number (4998510).

Almost surely, 2^477747072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799761600).

477747072 is an abundant number, since it is smaller than the sum of its proper divisors (1121776128).

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

477747072 is a wasteful number, since it uses less digits than its factorization.

477747072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 537824, while the sum is 45.

The square root of 477747072 is about 21857.4260149726. The cubic root of 477747072 is about 781.7466185017.

The spelling of 477747072 in words is "four hundred seventy-seven million, seven hundred forty-seven thousand, seventy-two".