477599760 has 160 divisors (see below), whose sum is σ = 1794706560. Its totient is φ = 115776000.

The previous prime is 477599723. The next prime is 477599777. The reversal of 477599760 is 67995774.

It is a happy number.

477599760 is a `hidden beast` number, since 47 + 7 + 599 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 477599697 and 477599706.

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 31 ways as a sum of consecutive naturals, for example, 13710 + ... + 33810.

It is an arithmetic number, because the mean of its divisors is an integer number (11216916).

Almost surely, 2^477599760 is an apocalyptic number.

477599760 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 477599760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897353280).

477599760 is an abundant number, since it is smaller than the sum of its proper divisors (1317106800).

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

477599760 is a wasteful number, since it uses less digits than its factorization.

477599760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20134 (or 20122 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 477599760 is about 21854.0559164655. The cubic root of 477599760 is about 781.6662604328. Note that the first 3 decimals are identical.

The spelling of 477599760 in words is "four hundred seventy-seven million, five hundred ninety-nine thousand, seven hundred sixty".