477742720 has 192 divisors, whose sum is σ = 1415629440. Its totient is φ = 150958080.

The previous prime is 477742711. The next prime is 477742739. The reversal of 477742720 is 27247774.

It is a happy number.

477742720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756805 + ... + 757435.

It is an arithmetic number, because the mean of its divisors is an integer number (7373070).

Almost surely, 2^477742720 is an apocalyptic number.

477742720 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 477742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707814720).

477742720 is an abundant number, since it is smaller than the sum of its proper divisors (937886720).

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

477742720 is a wasteful number, since it uses less digits than its factorization.

477742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 40.

The square root of 477742720 is about 21857.3264604800. The cubic root of 477742720 is about 781.7442447411.

The spelling of 477742720 in words is "four hundred seventy-seven million, seven hundred forty-two thousand, seven hundred twenty".