477459760 has 80 divisors (see below), whose sum is σ = 1186799040. Its totient is φ = 178196480.

The previous prime is 477459713. The next prime is 477459791. The reversal of 477459760 is 67954774.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72276 + ... + 78604.

It is an arithmetic number, because the mean of its divisors is an integer number (14834988).

Almost surely, 2^477459760 is an apocalyptic number.

477459760 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 477459760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593399520).

477459760 is an abundant number, since it is smaller than the sum of its proper divisors (709339280).

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

477459760 is a wasteful number, since it uses less digits than its factorization.

477459760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

The square root of 477459760 is about 21850.8526149439. The cubic root of 477459760 is about 781.5898757134.

The spelling of 477459760 in words is "four hundred seventy-seven million, four hundred fifty-nine thousand, seven hundred sixty".